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Finding the Fourth Proportional to 16,283.39, 22,470.68 and 9,113.40

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Solution

The fourth proportional to 16,283.39, 22,470.68 and 9,113.40 is: 12,576.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,283.39 : 22,470.68 = 9,113.40 : x
  2. Step 2: Convert to fraction form
    16,283.39/22,470.68 = 9,113.40/x
  3. Step 3: Cross multiply
    16,283.39x = 22,470.68 × 9,113.40
  4. Step 4: Simplify right side
    16,283.39x = 204,784,317.90
  5. Step 5: Solve for x
    x = 204,784,317.90/16,283.39
  6. Step 6: Final answer
    x = 12,576.27

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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.