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Finding the Fourth Proportional to 25,294.50, 37,942.41 and 8,654.43

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Solution

The fourth proportional to 25,294.50, 37,942.41 and 8,654.43 is: 12,981.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,294.50 : 37,942.41 = 8,654.43 : x
  2. Step 2: Convert to fraction form
    25,294.50/37,942.41 = 8,654.43/x
  3. Step 3: Cross multiply
    25,294.50x = 37,942.41 × 8,654.43
  4. Step 4: Simplify right side
    25,294.50x = 328,369,931.38
  5. Step 5: Solve for x
    x = 328,369,931.38/25,294.50
  6. Step 6: Final answer
    x = 12,981.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.