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Finding the Fourth Proportional to 25,865.61, 38,796.36 and 8,098.98

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Solution

The fourth proportional to 25,865.61, 38,796.36 and 8,098.98 is: 12,147.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,865.61 : 38,796.36 = 8,098.98 : x
  2. Step 2: Convert to fraction form
    25,865.61/38,796.36 = 8,098.98/x
  3. Step 3: Cross multiply
    25,865.61x = 38,796.36 × 8,098.98
  4. Step 4: Simplify right side
    25,865.61x = 314,210,943.71
  5. Step 5: Solve for x
    x = 314,210,943.71/25,865.61
  6. Step 6: Final answer
    x = 12,147.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.