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Finding the Fourth Proportional to 17,695.92, 24,419.76 and 9,737.40

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Solution

The fourth proportional to 17,695.92, 24,419.76 and 9,737.40 is: 13,437.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,695.92 : 24,419.76 = 9,737.40 : x
  2. Step 2: Convert to fraction form
    17,695.92/24,419.76 = 9,737.40/x
  3. Step 3: Cross multiply
    17,695.92x = 24,419.76 × 9,737.40
  4. Step 4: Simplify right side
    17,695.92x = 237,784,971.02
  5. Step 5: Solve for x
    x = 237,784,971.02/17,695.92
  6. Step 6: Final answer
    x = 13,437.28

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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.