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Finding the Fourth Proportional to 12,572.31, 18,857.71 and 7,013.18

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Solution

The fourth proportional to 12,572.31, 18,857.71 and 7,013.18 is: 10,519.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,572.31 : 18,857.71 = 7,013.18 : x
  2. Step 2: Convert to fraction form
    12,572.31/18,857.71 = 7,013.18/x
  3. Step 3: Cross multiply
    12,572.31x = 18,857.71 × 7,013.18
  4. Step 4: Simplify right side
    12,572.31x = 132,252,570.53
  5. Step 5: Solve for x
    x = 132,252,570.53/12,572.31
  6. Step 6: Final answer
    x = 10,519.35

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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.