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Finding the Fourth Proportional to 16,252, 24,375.12 and 4,566.24

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Solution

The fourth proportional to 16,252, 24,375.12 and 4,566.24 is: 6,848.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,252 : 24,375.12 = 4,566.24 : x
  2. Step 2: Convert to fraction form
    16,252/24,375.12 = 4,566.24/x
  3. Step 3: Cross multiply
    16,252x = 24,375.12 × 4,566.24
  4. Step 4: Simplify right side
    16,252x = 111,302,647.95
  5. Step 5: Solve for x
    x = 111,302,647.95/16,252
  6. Step 6: Final answer
    x = 6,848.55

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