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Finding the Fourth Proportional to 16,182.77, 22,332.18 and 9,109.22

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Solution

The fourth proportional to 16,182.77, 22,332.18 and 9,109.22 is: 12,570.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,182.77 : 22,332.18 = 9,109.22 : x
  2. Step 2: Convert to fraction form
    16,182.77/22,332.18 = 9,109.22/x
  3. Step 3: Cross multiply
    16,182.77x = 22,332.18 × 9,109.22
  4. Step 4: Simplify right side
    16,182.77x = 203,428,629.04
  5. Step 5: Solve for x
    x = 203,428,629.04/16,182.77
  6. Step 6: Final answer
    x = 12,570.70

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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.