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Finding the Fourth Proportional to 22,428.86, 33,643.10 and 5,787.47

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Solution

The fourth proportional to 22,428.86, 33,643.10 and 5,787.47 is: 8,681.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,428.86 : 33,643.10 = 5,787.47 : x
  2. Step 2: Convert to fraction form
    22,428.86/33,643.10 = 5,787.47/x
  3. Step 3: Cross multiply
    22,428.86x = 33,643.10 × 5,787.47
  4. Step 4: Simplify right side
    22,428.86x = 194,708,234.80
  5. Step 5: Solve for x
    x = 194,708,234.80/22,428.86
  6. Step 6: Final answer
    x = 8,681.15

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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.