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Finding the Fourth Proportional to 15,642.52, 23,456.40 and 9,070.52

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Solution

The fourth proportional to 15,642.52, 23,456.40 and 9,070.52 is: 13,601.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,642.52 : 23,456.40 = 9,070.52 : x
  2. Step 2: Convert to fraction form
    15,642.52/23,456.40 = 9,070.52/x
  3. Step 3: Cross multiply
    15,642.52x = 23,456.40 × 9,070.52
  4. Step 4: Simplify right side
    15,642.52x = 212,761,745.33
  5. Step 5: Solve for x
    x = 212,761,745.33/15,642.52
  6. Step 6: Final answer
    x = 13,601.50

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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.