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Finding the Fourth Proportional to 14,778, 22,167 and 5,537.52

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Solution

The fourth proportional to 14,778, 22,167 and 5,537.52 is: 8,306.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,778 : 22,167 = 5,537.52 : x
  2. Step 2: Convert to fraction form
    14,778/22,167 = 5,537.52/x
  3. Step 3: Cross multiply
    14,778x = 22,167 × 5,537.52
  4. Step 4: Simplify right side
    14,778x = 122,750,205.84
  5. Step 5: Solve for x
    x = 122,750,205.84/14,778
  6. Step 6: Final answer
    x = 8,306.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.