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Finding the Fourth Proportional to 15,892.64, 23,834.10 and 10,993.76

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Solution

The fourth proportional to 15,892.64, 23,834.10 and 10,993.76 is: 16,487.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,892.64 : 23,834.10 = 10,993.76 : x
  2. Step 2: Convert to fraction form
    15,892.64/23,834.10 = 10,993.76/x
  3. Step 3: Cross multiply
    15,892.64x = 23,834.10 × 10,993.76
  4. Step 4: Simplify right side
    15,892.64x = 262,026,375.22
  5. Step 5: Solve for x
    x = 262,026,375.22/15,892.64
  6. Step 6: Final answer
    x = 16,487.28

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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.