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Finding the Fourth Proportional to 17,689.68, 24,411.12 and 9,732.48

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Solution

The fourth proportional to 17,689.68, 24,411.12 and 9,732.48 is: 13,430.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,689.68 : 24,411.12 = 9,732.48 : x
  2. Step 2: Convert to fraction form
    17,689.68/24,411.12 = 9,732.48/x
  3. Step 3: Cross multiply
    17,689.68x = 24,411.12 × 9,732.48
  4. Step 4: Simplify right side
    17,689.68x = 237,580,737.18
  5. Step 5: Solve for x
    x = 237,580,737.18/17,689.68
  6. Step 6: Final answer
    x = 13,430.47

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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.