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Finding the Fourth Proportional to 11,116.80, 16,672.32 and 9,642.24

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Solution

The fourth proportional to 11,116.80, 16,672.32 and 9,642.24 is: 14,460.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,116.80 : 16,672.32 = 9,642.24 : x
  2. Step 2: Convert to fraction form
    11,116.80/16,672.32 = 9,642.24/x
  3. Step 3: Cross multiply
    11,116.80x = 16,672.32 × 9,642.24
  4. Step 4: Simplify right side
    11,116.80x = 160,758,510.80
  5. Step 5: Solve for x
    x = 160,758,510.80/11,116.80
  6. Step 6: Final answer
    x = 14,460.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.