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Finding the Fourth Proportional to 15,191.64, 22,787.52 and 5,829.48

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Solution

The fourth proportional to 15,191.64, 22,787.52 and 5,829.48 is: 8,744.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,191.64 : 22,787.52 = 5,829.48 : x
  2. Step 2: Convert to fraction form
    15,191.64/22,787.52 = 5,829.48/x
  3. Step 3: Cross multiply
    15,191.64x = 22,787.52 × 5,829.48
  4. Step 4: Simplify right side
    15,191.64x = 132,839,392.09
  5. Step 5: Solve for x
    x = 132,839,392.09/15,191.64
  6. Step 6: Final answer
    x = 8,744.24

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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.