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Finding the Fourth Proportional to 13,693.92, 20,541 and 11,706.63

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Solution

The fourth proportional to 13,693.92, 20,541 and 11,706.63 is: 17,560.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,693.92 : 20,541 = 11,706.63 : x
  2. Step 2: Convert to fraction form
    13,693.92/20,541 = 11,706.63/x
  3. Step 3: Cross multiply
    13,693.92x = 20,541 × 11,706.63
  4. Step 4: Simplify right side
    13,693.92x = 240,465,886.83
  5. Step 5: Solve for x
    x = 240,465,886.83/13,693.92
  6. Step 6: Final answer
    x = 17,560.05

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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.