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Finding the Fourth Proportional to 18,775, 25,915.28 and 10,822.53

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Solution

The fourth proportional to 18,775, 25,915.28 and 10,822.53 is: 14,938.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,775 : 25,915.28 = 10,822.53 : x
  2. Step 2: Convert to fraction form
    18,775/25,915.28 = 10,822.53/x
  3. Step 3: Cross multiply
    18,775x = 25,915.28 × 10,822.53
  4. Step 4: Simplify right side
    18,775x = 280,468,895.26
  5. Step 5: Solve for x
    x = 280,468,895.26/18,775
  6. Step 6: Final answer
    x = 14,938.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.