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Finding the Fourth Proportional to 20,689.69, 31,010.22 and 9,572.89

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Solution

The fourth proportional to 20,689.69, 31,010.22 and 9,572.89 is: 14,348.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,689.69 : 31,010.22 = 9,572.89 : x
  2. Step 2: Convert to fraction form
    20,689.69/31,010.22 = 9,572.89/x
  3. Step 3: Cross multiply
    20,689.69x = 31,010.22 × 9,572.89
  4. Step 4: Simplify right side
    20,689.69x = 296,857,269.88
  5. Step 5: Solve for x
    x = 296,857,269.88/20,689.69
  6. Step 6: Final answer
    x = 14,348.08

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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.