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Finding the Fourth Proportional to 25,294.62, 37,933.74 and 8,423.13

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Solution

The fourth proportional to 25,294.62, 37,933.74 and 8,423.13 is: 12,631.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,294.62 : 37,933.74 = 8,423.13 : x
  2. Step 2: Convert to fraction form
    25,294.62/37,933.74 = 8,423.13/x
  3. Step 3: Cross multiply
    25,294.62x = 37,933.74 × 8,423.13
  4. Step 4: Simplify right side
    25,294.62x = 319,520,823.41
  5. Step 5: Solve for x
    x = 319,520,823.41/25,294.62
  6. Step 6: Final answer
    x = 12,631.97

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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.