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Finding the Fourth Proportional to 16,126.75, 22,257.35 and 9,842.77

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Solution

The fourth proportional to 16,126.75, 22,257.35 and 9,842.77 is: 13,584.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,126.75 : 22,257.35 = 9,842.77 : x
  2. Step 2: Convert to fraction form
    16,126.75/22,257.35 = 9,842.77/x
  3. Step 3: Cross multiply
    16,126.75x = 22,257.35 × 9,842.77
  4. Step 4: Simplify right side
    16,126.75x = 219,073,976.86
  5. Step 5: Solve for x
    x = 219,073,976.86/16,126.75
  6. Step 6: Final answer
    x = 13,584.51

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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.