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Finding the Fourth Proportional to 13,407.30, 20,084.22 and 10,471.86

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Solution

The fourth proportional to 13,407.30, 20,084.22 and 10,471.86 is: 15,686.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,407.30 : 20,084.22 = 10,471.86 : x
  2. Step 2: Convert to fraction form
    13,407.30/20,084.22 = 10,471.86/x
  3. Step 3: Cross multiply
    13,407.30x = 20,084.22 × 10,471.86
  4. Step 4: Simplify right side
    13,407.30x = 210,319,140.05
  5. Step 5: Solve for x
    x = 210,319,140.05/13,407.30
  6. Step 6: Final answer
    x = 15,686.91

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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.