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Finding the Fourth Proportional to 24,024.97, 36,013.34 and 8,219.17

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Solution

The fourth proportional to 24,024.97, 36,013.34 and 8,219.17 is: 12,320.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,024.97 : 36,013.34 = 8,219.17 : x
  2. Step 2: Convert to fraction form
    24,024.97/36,013.34 = 8,219.17/x
  3. Step 3: Cross multiply
    24,024.97x = 36,013.34 × 8,219.17
  4. Step 4: Simplify right side
    24,024.97x = 295,999,829.29
  5. Step 5: Solve for x
    x = 295,999,829.29/24,024.97
  6. Step 6: Final answer
    x = 12,320.51

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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.