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Finding the Fourth Proportional to 24,678.34, 37,020.58 and 8,033.92

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Solution

The fourth proportional to 24,678.34, 37,020.58 and 8,033.92 is: 12,051.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,678.34 : 37,020.58 = 8,033.92 : x
  2. Step 2: Convert to fraction form
    24,678.34/37,020.58 = 8,033.92/x
  3. Step 3: Cross multiply
    24,678.34x = 37,020.58 × 8,033.92
  4. Step 4: Simplify right side
    24,678.34x = 297,420,378.07
  5. Step 5: Solve for x
    x = 297,420,378.07/24,678.34
  6. Step 6: Final answer
    x = 12,051.88

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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.