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Finding the Fourth Proportional to 22,275.72, 33,419.48 and 9,798.21

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Solution

The fourth proportional to 22,275.72, 33,419.48 and 9,798.21 is: 14,699.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,275.72 : 33,419.48 = 9,798.21 : x
  2. Step 2: Convert to fraction form
    22,275.72/33,419.48 = 9,798.21/x
  3. Step 3: Cross multiply
    22,275.72x = 33,419.48 × 9,798.21
  4. Step 4: Simplify right side
    22,275.72x = 327,451,034.14
  5. Step 5: Solve for x
    x = 327,451,034.14/22,275.72
  6. Step 6: Final answer
    x = 14,699.91

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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.