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Finding the Fourth Proportional to 16,282.77, 22,470.65 and 9,207.82

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Solution

The fourth proportional to 16,282.77, 22,470.65 and 9,207.82 is: 12,707.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,282.77 : 22,470.65 = 9,207.82 : x
  2. Step 2: Convert to fraction form
    16,282.77/22,470.65 = 9,207.82/x
  3. Step 3: Cross multiply
    16,282.77x = 22,470.65 × 9,207.82
  4. Step 4: Simplify right side
    16,282.77x = 206,905,700.48
  5. Step 5: Solve for x
    x = 206,905,700.48/16,282.77
  6. Step 6: Final answer
    x = 12,707.03

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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.