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Finding the Fourth Proportional to 25,878.50, 35,713.14 and 15,277.22

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Solution

The fourth proportional to 25,878.50, 35,713.14 and 15,277.22 is: 21,083.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,878.50 : 35,713.14 = 15,277.22 : x
  2. Step 2: Convert to fraction form
    25,878.50/35,713.14 = 15,277.22/x
  3. Step 3: Cross multiply
    25,878.50x = 35,713.14 × 15,277.22
  4. Step 4: Simplify right side
    25,878.50x = 545,597,496.67
  5. Step 5: Solve for x
    x = 545,597,496.67/25,878.50
  6. Step 6: Final answer
    x = 21,083.04

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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.