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Finding the Fourth Proportional to 17,757.87, 24,492 and 11,385.06

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Solution

The fourth proportional to 17,757.87, 24,492 and 11,385.06 is: 15,702.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,757.87 : 24,492 = 11,385.06 : x
  2. Step 2: Convert to fraction form
    17,757.87/24,492 = 11,385.06/x
  3. Step 3: Cross multiply
    17,757.87x = 24,492 × 11,385.06
  4. Step 4: Simplify right side
    17,757.87x = 278,842,889.52
  5. Step 5: Solve for x
    x = 278,842,889.52/17,757.87
  6. Step 6: Final answer
    x = 15,702.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.