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Finding the Fourth Proportional to 23,774, 35,648.92 and 13,916.24

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Solution

The fourth proportional to 23,774, 35,648.92 and 13,916.24 is: 20,867.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,774 : 35,648.92 = 13,916.24 : x
  2. Step 2: Convert to fraction form
    23,774/35,648.92 = 13,916.24/x
  3. Step 3: Cross multiply
    23,774x = 35,648.92 × 13,916.24
  4. Step 4: Simplify right side
    23,774x = 496,098,926.46
  5. Step 5: Solve for x
    x = 496,098,926.46/23,774
  6. Step 6: Final answer
    x = 20,867.29

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1.5x scale

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.