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Finding the Fourth Proportional to 12,294.47, 18,441.71 and 5,269.92

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Solution

The fourth proportional to 12,294.47, 18,441.71 and 5,269.92 is: 7,904.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294.47 : 18,441.71 = 5,269.92 : x
  2. Step 2: Convert to fraction form
    12,294.47/18,441.71 = 5,269.92/x
  3. Step 3: Cross multiply
    12,294.47x = 18,441.71 × 5,269.92
  4. Step 4: Simplify right side
    12,294.47x = 97,186,336.36
  5. Step 5: Solve for x
    x = 97,186,336.36/12,294.47
  6. Step 6: Final answer
    x = 7,904.88

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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.