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Finding the Fourth Proportional to 25,468.92, 38,196 and 10,677.44

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Solution

The fourth proportional to 25,468.92, 38,196 and 10,677.44 is: 16,013.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,468.92 : 38,196 = 10,677.44 : x
  2. Step 2: Convert to fraction form
    25,468.92/38,196 = 10,677.44/x
  3. Step 3: Cross multiply
    25,468.92x = 38,196 × 10,677.44
  4. Step 4: Simplify right side
    25,468.92x = 407,835,498.24
  5. Step 5: Solve for x
    x = 407,835,498.24/25,468.92
  6. Step 6: Final answer
    x = 16,013.07

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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.