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Finding the Fourth Proportional to 16,119.65, 22,245.14 and 9,046.08

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Solution

The fourth proportional to 16,119.65, 22,245.14 and 9,046.08 is: 12,483.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,119.65 : 22,245.14 = 9,046.08 : x
  2. Step 2: Convert to fraction form
    16,119.65/22,245.14 = 9,046.08/x
  3. Step 3: Cross multiply
    16,119.65x = 22,245.14 × 9,046.08
  4. Step 4: Simplify right side
    16,119.65x = 201,231,316.05
  5. Step 5: Solve for x
    x = 201,231,316.05/16,119.65
  6. Step 6: Final answer
    x = 12,483.60

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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.