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Finding the Fourth Proportional to 25,841.29, 38,710.03 and 11,781.98

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Solution

The fourth proportional to 25,841.29, 38,710.03 and 11,781.98 is: 17,649.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,841.29 : 38,710.03 = 11,781.98 : x
  2. Step 2: Convert to fraction form
    25,841.29/38,710.03 = 11,781.98/x
  3. Step 3: Cross multiply
    25,841.29x = 38,710.03 × 11,781.98
  4. Step 4: Simplify right side
    25,841.29x = 456,080,642.53
  5. Step 5: Solve for x
    x = 456,080,642.53/25,841.29
  6. Step 6: Final answer
    x = 17,649.30

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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.