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Finding the Fourth Proportional to 19,691.12, 29,536.68 and 5,840

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Solution

The fourth proportional to 19,691.12, 29,536.68 and 5,840 is: 8,760

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,691.12 : 29,536.68 = 5,840 : x
  2. Step 2: Convert to fraction form
    19,691.12/29,536.68 = 5,840/x
  3. Step 3: Cross multiply
    19,691.12x = 29,536.68 × 5,840
  4. Step 4: Simplify right side
    19,691.12x = 172,494,211.20
  5. Step 5: Solve for x
    x = 172,494,211.20/19,691.12
  6. Step 6: Final answer
    x = 8,760

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.