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Finding the Fourth Proportional to 16,577.52, 22,881.80 and 9,867.88

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Solution

The fourth proportional to 16,577.52, 22,881.80 and 9,867.88 is: 13,620.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,577.52 : 22,881.80 = 9,867.88 : x
  2. Step 2: Convert to fraction form
    16,577.52/22,881.80 = 9,867.88/x
  3. Step 3: Cross multiply
    16,577.52x = 22,881.80 × 9,867.88
  4. Step 4: Simplify right side
    16,577.52x = 225,794,856.58
  5. Step 5: Solve for x
    x = 225,794,856.58/16,577.52
  6. Step 6: Final answer
    x = 13,620.54

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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.