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Finding the Fourth Proportional to 24,013.20, 36,024.98 and 7,374.58

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Solution

The fourth proportional to 24,013.20, 36,024.98 and 7,374.58 is: 11,063.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,013.20 : 36,024.98 = 7,374.58 : x
  2. Step 2: Convert to fraction form
    24,013.20/36,024.98 = 7,374.58/x
  3. Step 3: Cross multiply
    24,013.20x = 36,024.98 × 7,374.58
  4. Step 4: Simplify right side
    24,013.20x = 265,669,097.01
  5. Step 5: Solve for x
    x = 265,669,097.01/24,013.20
  6. Step 6: Final answer
    x = 11,063.46

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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.