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Finding the Fourth Proportional to 22,421.87, 33,632.49 and 7,641.08

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Solution

The fourth proportional to 22,421.87, 33,632.49 and 7,641.08 is: 11,461.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,421.87 : 33,632.49 = 7,641.08 : x
  2. Step 2: Convert to fraction form
    22,421.87/33,632.49 = 7,641.08/x
  3. Step 3: Cross multiply
    22,421.87x = 33,632.49 × 7,641.08
  4. Step 4: Simplify right side
    22,421.87x = 256,988,546.69
  5. Step 5: Solve for x
    x = 256,988,546.69/22,421.87
  6. Step 6: Final answer
    x = 11,461.51

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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.