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Finding the Fourth Proportional to 20,689.95, 31,010.62 and 9,573.15

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Solution

The fourth proportional to 20,689.95, 31,010.62 and 9,573.15 is: 14,348.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,689.95 : 31,010.62 = 9,573.15 : x
  2. Step 2: Convert to fraction form
    20,689.95/31,010.62 = 9,573.15/x
  3. Step 3: Cross multiply
    20,689.95x = 31,010.62 × 9,573.15
  4. Step 4: Simplify right side
    20,689.95x = 296,869,316.85
  5. Step 5: Solve for x
    x = 296,869,316.85/20,689.95
  6. Step 6: Final answer
    x = 14,348.48

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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.