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Finding the Fourth Proportional to 12,478.14, 18,711.72 and 6,633.36

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Solution

The fourth proportional to 12,478.14, 18,711.72 and 6,633.36 is: 9,947.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,478.14 : 18,711.72 = 6,633.36 : x
  2. Step 2: Convert to fraction form
    12,478.14/18,711.72 = 6,633.36/x
  3. Step 3: Cross multiply
    12,478.14x = 18,711.72 × 6,633.36
  4. Step 4: Simplify right side
    12,478.14x = 124,121,574.98
  5. Step 5: Solve for x
    x = 124,121,574.98/12,478.14
  6. Step 6: Final answer
    x = 9,947.12

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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.