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Finding the Fourth Proportional to 24,427.66, 36,649.27 and 10,916.74

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Solution

The fourth proportional to 24,427.66, 36,649.27 and 10,916.74 is: 16,378.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,427.66 : 36,649.27 = 10,916.74 : x
  2. Step 2: Convert to fraction form
    24,427.66/36,649.27 = 10,916.74/x
  3. Step 3: Cross multiply
    24,427.66x = 36,649.27 × 10,916.74
  4. Step 4: Simplify right side
    24,427.66x = 400,090,387.05
  5. Step 5: Solve for x
    x = 400,090,387.05/24,427.66
  6. Step 6: Final answer
    x = 16,378.58

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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.