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Finding the Fourth Proportional to 16,283.13, 22,470.72 and 9,209.40

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Solution

The fourth proportional to 16,283.13, 22,470.72 and 9,209.40 is: 12,708.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,283.13 : 22,470.72 = 9,209.40 : x
  2. Step 2: Convert to fraction form
    16,283.13/22,470.72 = 9,209.40/x
  3. Step 3: Cross multiply
    16,283.13x = 22,470.72 × 9,209.40
  4. Step 4: Simplify right side
    16,283.13x = 206,941,690.37
  5. Step 5: Solve for x
    x = 206,941,690.37/16,283.13
  6. Step 6: Final answer
    x = 12,708.97

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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.