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Finding the Fourth Proportional to 17,931.29, 24,745.64 and 9,865.14

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Solution

The fourth proportional to 17,931.29, 24,745.64 and 9,865.14 is: 13,614.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,931.29 : 24,745.64 = 9,865.14 : x
  2. Step 2: Convert to fraction form
    17,931.29/24,745.64 = 9,865.14/x
  3. Step 3: Cross multiply
    17,931.29x = 24,745.64 × 9,865.14
  4. Step 4: Simplify right side
    17,931.29x = 244,119,200.06
  5. Step 5: Solve for x
    x = 244,119,200.06/17,931.29
  6. Step 6: Final answer
    x = 13,614.15

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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.