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Finding the Fourth Proportional to 25,594.57, 38,342.44 and 14,467.20

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Solution

The fourth proportional to 25,594.57, 38,342.44 and 14,467.20 is: 21,672.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,594.57 : 38,342.44 = 14,467.20 : x
  2. Step 2: Convert to fraction form
    25,594.57/38,342.44 = 14,467.20/x
  3. Step 3: Cross multiply
    25,594.57x = 38,342.44 × 14,467.20
  4. Step 4: Simplify right side
    25,594.57x = 554,707,747.97
  5. Step 5: Solve for x
    x = 554,707,747.97/25,594.57
  6. Step 6: Final answer
    x = 21,672.87

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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.