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Finding the Fourth Proportional to 22,290.50, 33,438.54 and 8,248.16

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Solution

The fourth proportional to 22,290.50, 33,438.54 and 8,248.16 is: 12,373.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,290.50 : 33,438.54 = 8,248.16 : x
  2. Step 2: Convert to fraction form
    22,290.50/33,438.54 = 8,248.16/x
  3. Step 3: Cross multiply
    22,290.50x = 33,438.54 × 8,248.16
  4. Step 4: Simplify right side
    22,290.50x = 275,806,428.09
  5. Step 5: Solve for x
    x = 275,806,428.09/22,290.50
  6. Step 6: Final answer
    x = 12,373.27

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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.