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Finding the Fourth Proportional to 22,281.24, 33,417.54 and 8,239.08

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Solution

The fourth proportional to 22,281.24, 33,417.54 and 8,239.08 is: 12,357.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,281.24 : 33,417.54 = 8,239.08 : x
  2. Step 2: Convert to fraction form
    22,281.24/33,417.54 = 8,239.08/x
  3. Step 3: Cross multiply
    22,281.24x = 33,417.54 × 8,239.08
  4. Step 4: Simplify right side
    22,281.24x = 275,329,785.46
  5. Step 5: Solve for x
    x = 275,329,785.46/22,281.24
  6. Step 6: Final answer
    x = 12,357.02

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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.