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Finding the Fourth Proportional to 16,642.56, 22,971.72 and 9,932.88

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Solution

The fourth proportional to 16,642.56, 22,971.72 and 9,932.88 is: 13,710.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,642.56 : 22,971.72 = 9,932.88 : x
  2. Step 2: Convert to fraction form
    16,642.56/22,971.72 = 9,932.88/x
  3. Step 3: Cross multiply
    16,642.56x = 22,971.72 × 9,932.88
  4. Step 4: Simplify right side
    16,642.56x = 228,175,338.15
  5. Step 5: Solve for x
    x = 228,175,338.15/16,642.56
  6. Step 6: Final answer
    x = 13,710.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.