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Finding the Fourth Proportional to 14,550.76, 20,089.38 and 8,965

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Solution

The fourth proportional to 14,550.76, 20,089.38 and 8,965 is: 12,377.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,550.76 : 20,089.38 = 8,965 : x
  2. Step 2: Convert to fraction form
    14,550.76/20,089.38 = 8,965/x
  3. Step 3: Cross multiply
    14,550.76x = 20,089.38 × 8,965
  4. Step 4: Simplify right side
    14,550.76x = 180,101,291.70
  5. Step 5: Solve for x
    x = 180,101,291.70/14,550.76
  6. Step 6: Final answer
    x = 12,377.45

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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.