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Finding the Fourth Proportional to 15,642.52, 23,463.78 and 9,064.43

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Solution

The fourth proportional to 15,642.52, 23,463.78 and 9,064.43 is: 13,596.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,642.52 : 23,463.78 = 9,064.43 : x
  2. Step 2: Convert to fraction form
    15,642.52/23,463.78 = 9,064.43/x
  3. Step 3: Cross multiply
    15,642.52x = 23,463.78 × 9,064.43
  4. Step 4: Simplify right side
    15,642.52x = 212,685,794.02
  5. Step 5: Solve for x
    x = 212,685,794.02/15,642.52
  6. Step 6: Final answer
    x = 13,596.65

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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.