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Finding the Fourth Proportional to 16,315.50, 22,515.39 and 9,691.50

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Solution

The fourth proportional to 16,315.50, 22,515.39 and 9,691.50 is: 13,374.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,315.50 : 22,515.39 = 9,691.50 : x
  2. Step 2: Convert to fraction form
    16,315.50/22,515.39 = 9,691.50/x
  3. Step 3: Cross multiply
    16,315.50x = 22,515.39 × 9,691.50
  4. Step 4: Simplify right side
    16,315.50x = 218,207,902.19
  5. Step 5: Solve for x
    x = 218,207,902.19/16,315.50
  6. Step 6: Final answer
    x = 13,374.27

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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.