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Finding the Fourth Proportional to 22,853.84, 34,280.28 and 10,541.84

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Solution

The fourth proportional to 22,853.84, 34,280.28 and 10,541.84 is: 15,812.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,853.84 : 34,280.28 = 10,541.84 : x
  2. Step 2: Convert to fraction form
    22,853.84/34,280.28 = 10,541.84/x
  3. Step 3: Cross multiply
    22,853.84x = 34,280.28 × 10,541.84
  4. Step 4: Simplify right side
    22,853.84x = 361,377,226.92
  5. Step 5: Solve for x
    x = 361,377,226.92/22,853.84
  6. Step 6: Final answer
    x = 15,812.54

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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.