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Finding the Fourth Proportional to 14,555, 20,089.14 and 9,248.78

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Solution

The fourth proportional to 14,555, 20,089.14 and 9,248.78 is: 12,765.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,555 : 20,089.14 = 9,248.78 : x
  2. Step 2: Convert to fraction form
    14,555/20,089.14 = 9,248.78/x
  3. Step 3: Cross multiply
    14,555x = 20,089.14 × 9,248.78
  4. Step 4: Simplify right side
    14,555x = 185,800,036.25
  5. Step 5: Solve for x
    x = 185,800,036.25/14,555
  6. Step 6: Final answer
    x = 12,765.38

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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.