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Finding the Fourth Proportional to 23,787.88, 35,687.04 and 9,748

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Solution

The fourth proportional to 23,787.88, 35,687.04 and 9,748 is: 14,624.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,787.88 : 35,687.04 = 9,748 : x
  2. Step 2: Convert to fraction form
    23,787.88/35,687.04 = 9,748/x
  3. Step 3: Cross multiply
    23,787.88x = 35,687.04 × 9,748
  4. Step 4: Simplify right side
    23,787.88x = 347,877,265.92
  5. Step 5: Solve for x
    x = 347,877,265.92/23,787.88
  6. Step 6: Final answer
    x = 14,624.14

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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.