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Finding the Fourth Proportional to 17,712.38, 24,443.10 and 9,646.04

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Solution

The fourth proportional to 17,712.38, 24,443.10 and 9,646.04 is: 13,311.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,712.38 : 24,443.10 = 9,646.04 : x
  2. Step 2: Convert to fraction form
    17,712.38/24,443.10 = 9,646.04/x
  3. Step 3: Cross multiply
    17,712.38x = 24,443.10 × 9,646.04
  4. Step 4: Simplify right side
    17,712.38x = 235,779,181.43
  5. Step 5: Solve for x
    x = 235,779,181.43/17,712.38
  6. Step 6: Final answer
    x = 13,311.55

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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.