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Finding the Fourth Proportional to 24,681.74, 37,022.57 and 8,041.74

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Solution

The fourth proportional to 24,681.74, 37,022.57 and 8,041.74 is: 12,062.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,681.74 : 37,022.57 = 8,041.74 : x
  2. Step 2: Convert to fraction form
    24,681.74/37,022.57 = 8,041.74/x
  3. Step 3: Cross multiply
    24,681.74x = 37,022.57 × 8,041.74
  4. Step 4: Simplify right side
    24,681.74x = 297,725,882.07
  5. Step 5: Solve for x
    x = 297,725,882.07/24,681.74
  6. Step 6: Final answer
    x = 12,062.60

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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.