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Finding the Fourth Proportional to 24,319.49, 36,466.34 and 7,675.20

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Solution

The fourth proportional to 24,319.49, 36,466.34 and 7,675.20 is: 11,508.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,319.49 : 36,466.34 = 7,675.20 : x
  2. Step 2: Convert to fraction form
    24,319.49/36,466.34 = 7,675.20/x
  3. Step 3: Cross multiply
    24,319.49x = 36,466.34 × 7,675.20
  4. Step 4: Simplify right side
    24,319.49x = 279,886,414.39
  5. Step 5: Solve for x
    x = 279,886,414.39/24,319.49
  6. Step 6: Final answer
    x = 11,508.73

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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.