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Finding the Fourth Proportional to 12,278.69, 16,944.14 and 7,506.63

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Solution

The fourth proportional to 12,278.69, 16,944.14 and 7,506.63 is: 10,358.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,278.69 : 16,944.14 = 7,506.63 : x
  2. Step 2: Convert to fraction form
    12,278.69/16,944.14 = 7,506.63/x
  3. Step 3: Cross multiply
    12,278.69x = 16,944.14 × 7,506.63
  4. Step 4: Simplify right side
    12,278.69x = 127,193,389.65
  5. Step 5: Solve for x
    x = 127,193,389.65/12,278.69
  6. Step 6: Final answer
    x = 10,358.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.