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Finding the Fourth Proportional to 22,853.71, 34,284.85 and 10,374.62

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Solution

The fourth proportional to 22,853.71, 34,284.85 and 10,374.62 is: 15,563.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,853.71 : 34,284.85 = 10,374.62 : x
  2. Step 2: Convert to fraction form
    22,853.71/34,284.85 = 10,374.62/x
  3. Step 3: Cross multiply
    22,853.71x = 34,284.85 × 10,374.62
  4. Step 4: Simplify right side
    22,853.71x = 355,692,151.50
  5. Step 5: Solve for x
    x = 355,692,151.50/22,853.71
  6. Step 6: Final answer
    x = 15,563.87

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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.