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Finding the Fourth Proportional to 16,261.74, 22,438.35 and 9,976.14

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Solution

The fourth proportional to 16,261.74, 22,438.35 and 9,976.14 is: 13,765.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,261.74 : 22,438.35 = 9,976.14 : x
  2. Step 2: Convert to fraction form
    16,261.74/22,438.35 = 9,976.14/x
  3. Step 3: Cross multiply
    16,261.74x = 22,438.35 × 9,976.14
  4. Step 4: Simplify right side
    16,261.74x = 223,848,120.97
  5. Step 5: Solve for x
    x = 223,848,120.97/16,261.74
  6. Step 6: Final answer
    x = 13,765.32

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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.