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Finding the Fourth Proportional to 22,316.25, 33,474.39 and 8,465.25

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Solution

The fourth proportional to 22,316.25, 33,474.39 and 8,465.25 is: 12,697.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,316.25 : 33,474.39 = 8,465.25 : x
  2. Step 2: Convert to fraction form
    22,316.25/33,474.39 = 8,465.25/x
  3. Step 3: Cross multiply
    22,316.25x = 33,474.39 × 8,465.25
  4. Step 4: Simplify right side
    22,316.25x = 283,369,079.95
  5. Step 5: Solve for x
    x = 283,369,079.95/22,316.25
  6. Step 6: Final answer
    x = 12,697.88

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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.