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Finding the Fourth Proportional to 22,459.28, 33,689 and 6,876.84

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Solution

The fourth proportional to 22,459.28, 33,689 and 6,876.84 is: 10,315.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,459.28 : 33,689 = 6,876.84 : x
  2. Step 2: Convert to fraction form
    22,459.28/33,689 = 6,876.84/x
  3. Step 3: Cross multiply
    22,459.28x = 33,689 × 6,876.84
  4. Step 4: Simplify right side
    22,459.28x = 231,673,862.76
  5. Step 5: Solve for x
    x = 231,673,862.76/22,459.28
  6. Step 6: Final answer
    x = 10,315.28

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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.