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Finding the Fourth Proportional to 16,182.97, 22,332.93 and 9,109.64

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Solution

The fourth proportional to 16,182.97, 22,332.93 and 9,109.64 is: 12,571.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,182.97 : 22,332.93 = 9,109.64 : x
  2. Step 2: Convert to fraction form
    16,182.97/22,332.93 = 9,109.64/x
  3. Step 3: Cross multiply
    16,182.97x = 22,332.93 × 9,109.64
  4. Step 4: Simplify right side
    16,182.97x = 203,444,952.45
  5. Step 5: Solve for x
    x = 203,444,952.45/16,182.97
  6. Step 6: Final answer
    x = 12,571.55

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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.