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Finding the Fourth Proportional to 16,057.50, 22,173.03 and 10,099.14

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Solution

The fourth proportional to 16,057.50, 22,173.03 and 10,099.14 is: 13,945.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,057.50 : 22,173.03 = 10,099.14 : x
  2. Step 2: Convert to fraction form
    16,057.50/22,173.03 = 10,099.14/x
  3. Step 3: Cross multiply
    16,057.50x = 22,173.03 × 10,099.14
  4. Step 4: Simplify right side
    16,057.50x = 223,928,534.19
  5. Step 5: Solve for x
    x = 223,928,534.19/16,057.50
  6. Step 6: Final answer
    x = 13,945.42

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.