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Finding the Fourth Proportional to 14,917.20, 22,376.20 and 9,034.16

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Solution

The fourth proportional to 14,917.20, 22,376.20 and 9,034.16 is: 13,551.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,917.20 : 22,376.20 = 9,034.16 : x
  2. Step 2: Convert to fraction form
    14,917.20/22,376.20 = 9,034.16/x
  3. Step 3: Cross multiply
    14,917.20x = 22,376.20 × 9,034.16
  4. Step 4: Simplify right side
    14,917.20x = 202,150,170.99
  5. Step 5: Solve for x
    x = 202,150,170.99/14,917.20
  6. Step 6: Final answer
    x = 13,551.48

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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.