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Finding the Fourth Proportional to 25,878.70, 35,716.38 and 14,549.13

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Solution

The fourth proportional to 25,878.70, 35,716.38 and 14,549.13 is: 20,079.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,878.70 : 35,716.38 = 14,549.13 : x
  2. Step 2: Convert to fraction form
    25,878.70/35,716.38 = 14,549.13/x
  3. Step 3: Cross multiply
    25,878.70x = 35,716.38 × 14,549.13
  4. Step 4: Simplify right side
    25,878.70x = 519,642,255.75
  5. Step 5: Solve for x
    x = 519,642,255.75/25,878.70
  6. Step 6: Final answer
    x = 20,079.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.