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Finding the Fourth Proportional to 22,559.68, 33,838.08 and 6,976

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Solution

The fourth proportional to 22,559.68, 33,838.08 and 6,976 is: 10,463.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,559.68 : 33,838.08 = 6,976 : x
  2. Step 2: Convert to fraction form
    22,559.68/33,838.08 = 6,976/x
  3. Step 3: Cross multiply
    22,559.68x = 33,838.08 × 6,976
  4. Step 4: Simplify right side
    22,559.68x = 236,054,446.08
  5. Step 5: Solve for x
    x = 236,054,446.08/22,559.68
  6. Step 6: Final answer
    x = 10,463.55

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