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Finding the Fourth Proportional to 13,725.64, 20,604.66 and 7,154.92

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Solution

The fourth proportional to 13,725.64, 20,604.66 and 7,154.92 is: 10,740.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,725.64 : 20,604.66 = 7,154.92 : x
  2. Step 2: Convert to fraction form
    13,725.64/20,604.66 = 7,154.92/x
  3. Step 3: Cross multiply
    13,725.64x = 20,604.66 × 7,154.92
  4. Step 4: Simplify right side
    13,725.64x = 147,424,693.93
  5. Step 5: Solve for x
    x = 147,424,693.93/13,725.64
  6. Step 6: Final answer
    x = 10,740.82

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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.