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Finding the Fourth Proportional to 16,282.66, 22,470.56 and 9,208.94

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Solution

The fourth proportional to 16,282.66, 22,470.56 and 9,208.94 is: 12,708.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,282.66 : 22,470.56 = 9,208.94 : x
  2. Step 2: Convert to fraction form
    16,282.66/22,470.56 = 9,208.94/x
  3. Step 3: Cross multiply
    16,282.66x = 22,470.56 × 9,208.94
  4. Step 4: Simplify right side
    16,282.66x = 206,930,038.81
  5. Step 5: Solve for x
    x = 206,930,038.81/16,282.66
  6. Step 6: Final answer
    x = 12,708.61

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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.