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Finding the Fourth Proportional to 22,587.84, 33,872.16 and 9,251.64

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Solution

The fourth proportional to 22,587.84, 33,872.16 and 9,251.64 is: 13,873.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,587.84 : 33,872.16 = 9,251.64 : x
  2. Step 2: Convert to fraction form
    22,587.84/33,872.16 = 9,251.64/x
  3. Step 3: Cross multiply
    22,587.84x = 33,872.16 × 9,251.64
  4. Step 4: Simplify right side
    22,587.84x = 313,373,030.34
  5. Step 5: Solve for x
    x = 313,373,030.34/22,587.84
  6. Step 6: Final answer
    x = 13,873.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.