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Finding the Fourth Proportional to 16,275.21, 24,411.56 and 6,414.57

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Solution

The fourth proportional to 16,275.21, 24,411.56 and 6,414.57 is: 9,621.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,275.21 : 24,411.56 = 6,414.57 : x
  2. Step 2: Convert to fraction form
    16,275.21/24,411.56 = 6,414.57/x
  3. Step 3: Cross multiply
    16,275.21x = 24,411.56 × 6,414.57
  4. Step 4: Simplify right side
    16,275.21x = 156,589,628.36
  5. Step 5: Solve for x
    x = 156,589,628.36/16,275.21
  6. Step 6: Final answer
    x = 9,621.36

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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.