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Finding the Fourth Proportional to 24,523.86, 36,787.95 and 7,885.38

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Solution

The fourth proportional to 24,523.86, 36,787.95 and 7,885.38 is: 11,828.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,523.86 : 36,787.95 = 7,885.38 : x
  2. Step 2: Convert to fraction form
    24,523.86/36,787.95 = 7,885.38/x
  3. Step 3: Cross multiply
    24,523.86x = 36,787.95 × 7,885.38
  4. Step 4: Simplify right side
    24,523.86x = 290,086,965.17
  5. Step 5: Solve for x
    x = 290,086,965.17/24,523.86
  6. Step 6: Final answer
    x = 11,828.76

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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.