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Finding the Fourth Proportional to 25,680, 38,502.72 and 11,821.44

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Solution

The fourth proportional to 25,680, 38,502.72 and 11,821.44 is: 17,724.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,680 : 38,502.72 = 11,821.44 : x
  2. Step 2: Convert to fraction form
    25,680/38,502.72 = 11,821.44/x
  3. Step 3: Cross multiply
    25,680x = 38,502.72 × 11,821.44
  4. Step 4: Simplify right side
    25,680x = 455,157,594.32
  5. Step 5: Solve for x
    x = 455,157,594.32/25,680
  6. Step 6: Final answer
    x = 17,724.21

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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.