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Finding the Fourth Proportional to 15,953.90, 23,932.49 and 6,101.47

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Solution

The fourth proportional to 15,953.90, 23,932.49 and 6,101.47 is: 9,152.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,953.90 : 23,932.49 = 6,101.47 : x
  2. Step 2: Convert to fraction form
    15,953.90/23,932.49 = 6,101.47/x
  3. Step 3: Cross multiply
    15,953.90x = 23,932.49 × 6,101.47
  4. Step 4: Simplify right side
    15,953.90x = 146,023,272.39
  5. Step 5: Solve for x
    x = 146,023,272.39/15,953.90
  6. Step 6: Final answer
    x = 9,152.83

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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.