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Finding the Fourth Proportional to 17,648.04, 24,354.58 and 9,691

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Solution

The fourth proportional to 17,648.04, 24,354.58 and 9,691 is: 13,373.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,648.04 : 24,354.58 = 9,691 : x
  2. Step 2: Convert to fraction form
    17,648.04/24,354.58 = 9,691/x
  3. Step 3: Cross multiply
    17,648.04x = 24,354.58 × 9,691
  4. Step 4: Simplify right side
    17,648.04x = 236,020,234.78
  5. Step 5: Solve for x
    x = 236,020,234.78/17,648.04
  6. Step 6: Final answer
    x = 13,373.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.