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Finding the Fourth Proportional to 21,095.92, 31,652.61 and 9,243.57

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Solution

The fourth proportional to 21,095.92, 31,652.61 and 9,243.57 is: 13,869.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,095.92 : 31,652.61 = 9,243.57 : x
  2. Step 2: Convert to fraction form
    21,095.92/31,652.61 = 9,243.57/x
  3. Step 3: Cross multiply
    21,095.92x = 31,652.61 × 9,243.57
  4. Step 4: Simplify right side
    21,095.92x = 292,583,116.22
  5. Step 5: Solve for x
    x = 292,583,116.22/21,095.92
  6. Step 6: Final answer
    x = 13,869.18

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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.