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Finding the Fourth Proportional to 22,355.64, 33,535.88 and 8,314.02

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Solution

The fourth proportional to 22,355.64, 33,535.88 and 8,314.02 is: 12,471.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,355.64 : 33,535.88 = 8,314.02 : x
  2. Step 2: Convert to fraction form
    22,355.64/33,535.88 = 8,314.02/x
  3. Step 3: Cross multiply
    22,355.64x = 33,535.88 × 8,314.02
  4. Step 4: Simplify right side
    22,355.64x = 278,817,977.04
  5. Step 5: Solve for x
    x = 278,817,977.04/22,355.64
  6. Step 6: Final answer
    x = 12,471.93

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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.