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Finding the Fourth Proportional to 24,677.53, 37,008.32 and 8,033.56

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Solution

The fourth proportional to 24,677.53, 37,008.32 and 8,033.56 is: 12,047.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,677.53 : 37,008.32 = 8,033.56 : x
  2. Step 2: Convert to fraction form
    24,677.53/37,008.32 = 8,033.56/x
  3. Step 3: Cross multiply
    24,677.53x = 37,008.32 × 8,033.56
  4. Step 4: Simplify right side
    24,677.53x = 297,308,426.53
  5. Step 5: Solve for x
    x = 297,308,426.53/24,677.53
  6. Step 6: Final answer
    x = 12,047.74

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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.