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Finding the Fourth Proportional to 24,076.29, 36,116.84 and 8,279.21

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Solution

The fourth proportional to 24,076.29, 36,116.84 and 8,279.21 is: 12,419.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,076.29 : 36,116.84 = 8,279.21 : x
  2. Step 2: Convert to fraction form
    24,076.29/36,116.84 = 8,279.21/x
  3. Step 3: Cross multiply
    24,076.29x = 36,116.84 × 8,279.21
  4. Step 4: Simplify right side
    24,076.29x = 299,018,967.32
  5. Step 5: Solve for x
    x = 299,018,967.32/24,076.29
  6. Step 6: Final answer
    x = 12,419.65

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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.