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Finding the Fourth Proportional to 16,424.64, 24,645.06 and 10,182.96

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Solution

The fourth proportional to 16,424.64, 24,645.06 and 10,182.96 is: 15,279.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,424.64 : 24,645.06 = 10,182.96 : x
  2. Step 2: Convert to fraction form
    16,424.64/24,645.06 = 10,182.96/x
  3. Step 3: Cross multiply
    16,424.64x = 24,645.06 × 10,182.96
  4. Step 4: Simplify right side
    16,424.64x = 250,959,660.18
  5. Step 5: Solve for x
    x = 250,959,660.18/16,424.64
  6. Step 6: Final answer
    x = 15,279.46

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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.