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Finding the Fourth Proportional to 13,714.92, 20,600.33 and 9,041.63

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Solution

The fourth proportional to 13,714.92, 20,600.33 and 9,041.63 is: 13,580.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.92 : 20,600.33 = 9,041.63 : x
  2. Step 2: Convert to fraction form
    13,714.92/20,600.33 = 9,041.63/x
  3. Step 3: Cross multiply
    13,714.92x = 20,600.33 × 9,041.63
  4. Step 4: Simplify right side
    13,714.92x = 186,260,413.53
  5. Step 5: Solve for x
    x = 186,260,413.53/13,714.92
  6. Step 6: Final answer
    x = 13,580.86

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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.