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Finding the Fourth Proportional to 20,691.51, 31,012.95 and 9,574.72

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Solution

The fourth proportional to 20,691.51, 31,012.95 and 9,574.72 is: 14,350.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,691.51 : 31,012.95 = 9,574.72 : x
  2. Step 2: Convert to fraction form
    20,691.51/31,012.95 = 9,574.72/x
  3. Step 3: Cross multiply
    20,691.51x = 31,012.95 × 9,574.72
  4. Step 4: Simplify right side
    20,691.51x = 296,940,312.62
  5. Step 5: Solve for x
    x = 296,940,312.62/20,691.51
  6. Step 6: Final answer
    x = 14,350.83

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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.