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Finding the Fourth Proportional to 19,691.04, 29,538.16 and 5,840

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Solution

The fourth proportional to 19,691.04, 29,538.16 and 5,840 is: 8,760.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,691.04 : 29,538.16 = 5,840 : x
  2. Step 2: Convert to fraction form
    19,691.04/29,538.16 = 5,840/x
  3. Step 3: Cross multiply
    19,691.04x = 29,538.16 × 5,840
  4. Step 4: Simplify right side
    19,691.04x = 172,502,854.40
  5. Step 5: Solve for x
    x = 172,502,854.40/19,691.04
  6. Step 6: Final answer
    x = 8,760.47

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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.