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Finding the Fourth Proportional to 22,024.71, 33,036.77 and 5,384.88

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Solution

The fourth proportional to 22,024.71, 33,036.77 and 5,384.88 is: 8,077.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,024.71 : 33,036.77 = 5,384.88 : x
  2. Step 2: Convert to fraction form
    22,024.71/33,036.77 = 5,384.88/x
  3. Step 3: Cross multiply
    22,024.71x = 33,036.77 × 5,384.88
  4. Step 4: Simplify right side
    22,024.71x = 177,899,015.11
  5. Step 5: Solve for x
    x = 177,899,015.11/22,024.71
  6. Step 6: Final answer
    x = 8,077.25

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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.