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Finding the Fourth Proportional to 18,711.96, 25,822.56 and 10,214.16

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Solution

The fourth proportional to 18,711.96, 25,822.56 and 10,214.16 is: 14,095.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,711.96 : 25,822.56 = 10,214.16 : x
  2. Step 2: Convert to fraction form
    18,711.96/25,822.56 = 10,214.16/x
  3. Step 3: Cross multiply
    18,711.96x = 25,822.56 × 10,214.16
  4. Step 4: Simplify right side
    18,711.96x = 263,755,759.45
  5. Step 5: Solve for x
    x = 263,755,759.45/18,711.96
  6. Step 6: Final answer
    x = 14,095.57

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1.5x scale

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.