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Finding the Fourth Proportional to 25,525.32, 35,226.02 and 14,194.78

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Solution

The fourth proportional to 25,525.32, 35,226.02 and 14,194.78 is: 19,589.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,525.32 : 35,226.02 = 14,194.78 : x
  2. Step 2: Convert to fraction form
    25,525.32/35,226.02 = 14,194.78/x
  3. Step 3: Cross multiply
    25,525.32x = 35,226.02 × 14,194.78
  4. Step 4: Simplify right side
    25,525.32x = 500,025,604.18
  5. Step 5: Solve for x
    x = 500,025,604.18/25,525.32
  6. Step 6: Final answer
    x = 19,589.40

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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.