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Finding the Fourth Proportional to 15,200.53, 20,977.65 and 8,486.13

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Solution

The fourth proportional to 15,200.53, 20,977.65 and 8,486.13 is: 11,711.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,200.53 : 20,977.65 = 8,486.13 : x
  2. Step 2: Convert to fraction form
    15,200.53/20,977.65 = 8,486.13/x
  3. Step 3: Cross multiply
    15,200.53x = 20,977.65 × 8,486.13
  4. Step 4: Simplify right side
    15,200.53x = 178,019,143.66
  5. Step 5: Solve for x
    x = 178,019,143.66/15,200.53
  6. Step 6: Final answer
    x = 11,711.38

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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.