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Finding the Fourth Proportional to 21,292.61, 31,951.19 and 9,605.81

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Solution

The fourth proportional to 21,292.61, 31,951.19 and 9,605.81 is: 14,414.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,292.61 : 31,951.19 = 9,605.81 : x
  2. Step 2: Convert to fraction form
    21,292.61/31,951.19 = 9,605.81/x
  3. Step 3: Cross multiply
    21,292.61x = 31,951.19 × 9,605.81
  4. Step 4: Simplify right side
    21,292.61x = 306,917,164.31
  5. Step 5: Solve for x
    x = 306,917,164.31/21,292.61
  6. Step 6: Final answer
    x = 14,414.26

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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.