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Finding the Fourth Proportional to 14,788.12, 22,171.24 and 6,987.82

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Solution

The fourth proportional to 14,788.12, 22,171.24 and 6,987.82 is: 10,476.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,788.12 : 22,171.24 = 6,987.82 : x
  2. Step 2: Convert to fraction form
    14,788.12/22,171.24 = 6,987.82/x
  3. Step 3: Cross multiply
    14,788.12x = 22,171.24 × 6,987.82
  4. Step 4: Simplify right side
    14,788.12x = 154,928,488.50
  5. Step 5: Solve for x
    x = 154,928,488.50/14,788.12
  6. Step 6: Final answer
    x = 10,476.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.