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Finding the Fourth Proportional to 15,076, 20,805.13 and 8,361.91

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Solution

The fourth proportional to 15,076, 20,805.13 and 8,361.91 is: 11,539.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,076 : 20,805.13 = 8,361.91 : x
  2. Step 2: Convert to fraction form
    15,076/20,805.13 = 8,361.91/x
  3. Step 3: Cross multiply
    15,076x = 20,805.13 × 8,361.91
  4. Step 4: Simplify right side
    15,076x = 173,970,624.60
  5. Step 5: Solve for x
    x = 173,970,624.60/15,076
  6. Step 6: Final answer
    x = 11,539.57

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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.