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Finding the Fourth Proportional to 16,314.26, 22,510.44 and 9,600.17

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Solution

The fourth proportional to 16,314.26, 22,510.44 and 9,600.17 is: 13,246.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,314.26 : 22,510.44 = 9,600.17 : x
  2. Step 2: Convert to fraction form
    16,314.26/22,510.44 = 9,600.17/x
  3. Step 3: Cross multiply
    16,314.26x = 22,510.44 × 9,600.17
  4. Step 4: Simplify right side
    16,314.26x = 216,103,938.22
  5. Step 5: Solve for x
    x = 216,103,938.22/16,314.26
  6. Step 6: Final answer
    x = 13,246.33

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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.