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Finding the Fourth Proportional to 12,294.46, 18,441.70 and 5,269.91

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Solution

The fourth proportional to 12,294.46, 18,441.70 and 5,269.91 is: 7,904.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294.46 : 18,441.70 = 5,269.91 : x
  2. Step 2: Convert to fraction form
    12,294.46/18,441.70 = 5,269.91/x
  3. Step 3: Cross multiply
    12,294.46x = 18,441.70 × 5,269.91
  4. Step 4: Simplify right side
    12,294.46x = 97,186,132.18
  5. Step 5: Solve for x
    x = 97,186,132.18/12,294.46
  6. Step 6: Final answer
    x = 7,904.87

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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.