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Finding the Fourth Proportional to 13,711.23, 18,921.47 and 7,423.61

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Solution

The fourth proportional to 13,711.23, 18,921.47 and 7,423.61 is: 10,244.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,711.23 : 18,921.47 = 7,423.61 : x
  2. Step 2: Convert to fraction form
    13,711.23/18,921.47 = 7,423.61/x
  3. Step 3: Cross multiply
    13,711.23x = 18,921.47 × 7,423.61
  4. Step 4: Simplify right side
    13,711.23x = 140,465,482.18
  5. Step 5: Solve for x
    x = 140,465,482.18/13,711.23
  6. Step 6: Final answer
    x = 10,244.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.