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Finding the Fourth Proportional to 14,757.44, 22,116.70 and 5,987.60

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Solution

The fourth proportional to 14,757.44, 22,116.70 and 5,987.60 is: 8,973.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,757.44 : 22,116.70 = 5,987.60 : x
  2. Step 2: Convert to fraction form
    14,757.44/22,116.70 = 5,987.60/x
  3. Step 3: Cross multiply
    14,757.44x = 22,116.70 × 5,987.60
  4. Step 4: Simplify right side
    14,757.44x = 132,425,952.92
  5. Step 5: Solve for x
    x = 132,425,952.92/14,757.44
  6. Step 6: Final answer
    x = 8,973.50

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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.