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Finding the Fourth Proportional to 22,902.40, 34,352.64 and 7,323.52

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Solution

The fourth proportional to 22,902.40, 34,352.64 and 7,323.52 is: 10,984.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,902.40 : 34,352.64 = 7,323.52 : x
  2. Step 2: Convert to fraction form
    22,902.40/34,352.64 = 7,323.52/x
  3. Step 3: Cross multiply
    22,902.40x = 34,352.64 × 7,323.52
  4. Step 4: Simplify right side
    22,902.40x = 251,582,246.09
  5. Step 5: Solve for x
    x = 251,582,246.09/22,902.40
  6. Step 6: Final answer
    x = 10,984.97

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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.