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Finding the Fourth Proportional to 25,414.50, 35,069.16 and 14,081.16

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Solution

The fourth proportional to 25,414.50, 35,069.16 and 14,081.16 is: 19,430.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,414.50 : 35,069.16 = 14,081.16 : x
  2. Step 2: Convert to fraction form
    25,414.50/35,069.16 = 14,081.16/x
  3. Step 3: Cross multiply
    25,414.50x = 35,069.16 × 14,081.16
  4. Step 4: Simplify right side
    25,414.50x = 493,814,382.62
  5. Step 5: Solve for x
    x = 493,814,382.62/25,414.50
  6. Step 6: Final answer
    x = 19,430.42

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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.