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Finding the Fourth Proportional to 17,689.69, 24,411.18 and 9,731.85

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Solution

The fourth proportional to 17,689.69, 24,411.18 and 9,731.85 is: 13,429.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,689.69 : 24,411.18 = 9,731.85 : x
  2. Step 2: Convert to fraction form
    17,689.69/24,411.18 = 9,731.85/x
  3. Step 3: Cross multiply
    17,689.69x = 24,411.18 × 9,731.85
  4. Step 4: Simplify right side
    17,689.69x = 237,565,942.08
  5. Step 5: Solve for x
    x = 237,565,942.08/17,689.69
  6. Step 6: Final answer
    x = 13,429.63

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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.