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Finding the Fourth Proportional to 25,542.18, 38,296.80 and 8,901

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Solution

The fourth proportional to 25,542.18, 38,296.80 and 8,901 is: 13,345.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,542.18 : 38,296.80 = 8,901 : x
  2. Step 2: Convert to fraction form
    25,542.18/38,296.80 = 8,901/x
  3. Step 3: Cross multiply
    25,542.18x = 38,296.80 × 8,901
  4. Step 4: Simplify right side
    25,542.18x = 340,879,816.80
  5. Step 5: Solve for x
    x = 340,879,816.80/25,542.18
  6. Step 6: Final answer
    x = 13,345.76

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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.