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Finding the Fourth Proportional to 23,330.52, 34,987.68 and 7,744.50

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Solution

The fourth proportional to 23,330.52, 34,987.68 and 7,744.50 is: 11,614.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,330.52 : 34,987.68 = 7,744.50 : x
  2. Step 2: Convert to fraction form
    23,330.52/34,987.68 = 7,744.50/x
  3. Step 3: Cross multiply
    23,330.52x = 34,987.68 × 7,744.50
  4. Step 4: Simplify right side
    23,330.52x = 270,962,087.76
  5. Step 5: Solve for x
    x = 270,962,087.76/23,330.52
  6. Step 6: Final answer
    x = 11,614.06

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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.