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Finding the Fourth Proportional to 22,917.18, 34,343.34 and 9,756.30

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Solution

The fourth proportional to 22,917.18, 34,343.34 and 9,756.30 is: 14,620.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,917.18 : 34,343.34 = 9,756.30 : x
  2. Step 2: Convert to fraction form
    22,917.18/34,343.34 = 9,756.30/x
  3. Step 3: Cross multiply
    22,917.18x = 34,343.34 × 9,756.30
  4. Step 4: Simplify right side
    22,917.18x = 335,063,928.04
  5. Step 5: Solve for x
    x = 335,063,928.04/22,917.18
  6. Step 6: Final answer
    x = 14,620.64

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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.