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Finding the Fourth Proportional to 16,223.52, 22,386.24 and 9,934.56

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Solution

The fourth proportional to 16,223.52, 22,386.24 and 9,934.56 is: 13,708.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,223.52 : 22,386.24 = 9,934.56 : x
  2. Step 2: Convert to fraction form
    16,223.52/22,386.24 = 9,934.56/x
  3. Step 3: Cross multiply
    16,223.52x = 22,386.24 × 9,934.56
  4. Step 4: Simplify right side
    16,223.52x = 222,397,444.45
  5. Step 5: Solve for x
    x = 222,397,444.45/16,223.52
  6. Step 6: Final answer
    x = 13,708.33

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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.