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Finding the Fourth Proportional to 25,778.04, 38,671.92 and 14,697.24

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Solution

The fourth proportional to 25,778.04, 38,671.92 and 14,697.24 is: 22,048.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,778.04 : 38,671.92 = 14,697.24 : x
  2. Step 2: Convert to fraction form
    25,778.04/38,671.92 = 14,697.24/x
  3. Step 3: Cross multiply
    25,778.04x = 38,671.92 × 14,697.24
  4. Step 4: Simplify right side
    25,778.04x = 568,370,489.50
  5. Step 5: Solve for x
    x = 568,370,489.50/25,778.04
  6. Step 6: Final answer
    x = 22,048.63

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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.