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Finding the Fourth Proportional to 22,914.32, 34,371.46 and 6,274.50

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Solution

The fourth proportional to 22,914.32, 34,371.46 and 6,274.50 is: 9,411.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,914.32 : 34,371.46 = 6,274.50 : x
  2. Step 2: Convert to fraction form
    22,914.32/34,371.46 = 6,274.50/x
  3. Step 3: Cross multiply
    22,914.32x = 34,371.46 × 6,274.50
  4. Step 4: Simplify right side
    22,914.32x = 215,663,725.77
  5. Step 5: Solve for x
    x = 215,663,725.77/22,914.32
  6. Step 6: Final answer
    x = 9,411.74

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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.