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Finding the Fourth Proportional to 16,803.56, 23,188.98 and 9,351.56

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Solution

The fourth proportional to 16,803.56, 23,188.98 and 9,351.56 is: 12,905.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,803.56 : 23,188.98 = 9,351.56 : x
  2. Step 2: Convert to fraction form
    16,803.56/23,188.98 = 9,351.56/x
  3. Step 3: Cross multiply
    16,803.56x = 23,188.98 × 9,351.56
  4. Step 4: Simplify right side
    16,803.56x = 216,853,137.81
  5. Step 5: Solve for x
    x = 216,853,137.81/16,803.56
  6. Step 6: Final answer
    x = 12,905.19

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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.