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Finding the Fourth Proportional to 15,154.25, 20,915.77 and 8,530.25

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Solution

The fourth proportional to 15,154.25, 20,915.77 and 8,530.25 is: 11,773.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,154.25 : 20,915.77 = 8,530.25 : x
  2. Step 2: Convert to fraction form
    15,154.25/20,915.77 = 8,530.25/x
  3. Step 3: Cross multiply
    15,154.25x = 20,915.77 × 8,530.25
  4. Step 4: Simplify right side
    15,154.25x = 178,416,704.39
  5. Step 5: Solve for x
    x = 178,416,704.39/15,154.25
  6. Step 6: Final answer
    x = 11,773.38

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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.