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Finding the Fourth Proportional to 18,524.64, 25,564 and 10,141.12

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Solution

The fourth proportional to 18,524.64, 25,564 and 10,141.12 is: 13,994.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,524.64 : 25,564 = 10,141.12 : x
  2. Step 2: Convert to fraction form
    18,524.64/25,564 = 10,141.12/x
  3. Step 3: Cross multiply
    18,524.64x = 25,564 × 10,141.12
  4. Step 4: Simplify right side
    18,524.64x = 259,247,591.68
  5. Step 5: Solve for x
    x = 259,247,591.68/18,524.64
  6. Step 6: Final answer
    x = 13,994.74

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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.