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Finding the Fourth Proportional to 21,358.06, 32,042.92 and 10,274.02

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Solution

The fourth proportional to 21,358.06, 32,042.92 and 10,274.02 is: 15,413.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,358.06 : 32,042.92 = 10,274.02 : x
  2. Step 2: Convert to fraction form
    21,358.06/32,042.92 = 10,274.02/x
  3. Step 3: Cross multiply
    21,358.06x = 32,042.92 × 10,274.02
  4. Step 4: Simplify right side
    21,358.06x = 329,209,600.94
  5. Step 5: Solve for x
    x = 329,209,600.94/21,358.06
  6. Step 6: Final answer
    x = 15,413.83

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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.