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Finding the Fourth Proportional to 14,452.14, 19,947.17 and 8,785.69

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Solution

The fourth proportional to 14,452.14, 19,947.17 and 8,785.69 is: 12,126.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,452.14 : 19,947.17 = 8,785.69 : x
  2. Step 2: Convert to fraction form
    14,452.14/19,947.17 = 8,785.69/x
  3. Step 3: Cross multiply
    14,452.14x = 19,947.17 × 8,785.69
  4. Step 4: Simplify right side
    14,452.14x = 175,249,599.38
  5. Step 5: Solve for x
    x = 175,249,599.38/14,452.14
  6. Step 6: Final answer
    x = 12,126.20

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Why These Related Problems?

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