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Finding the Fourth Proportional to 25,685.88, 38,519.10 and 10,095

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Solution

The fourth proportional to 25,685.88, 38,519.10 and 10,095 is: 15,138.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,685.88 : 38,519.10 = 10,095 : x
  2. Step 2: Convert to fraction form
    25,685.88/38,519.10 = 10,095/x
  3. Step 3: Cross multiply
    25,685.88x = 38,519.10 × 10,095
  4. Step 4: Simplify right side
    25,685.88x = 388,850,314.50
  5. Step 5: Solve for x
    x = 388,850,314.50/25,685.88
  6. Step 6: Final answer
    x = 15,138.68

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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.