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Finding the Fourth Proportional to 25,707, 35,474.18 and 14,221.22

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Solution

The fourth proportional to 25,707, 35,474.18 and 14,221.22 is: 19,624.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,707 : 35,474.18 = 14,221.22 : x
  2. Step 2: Convert to fraction form
    25,707/35,474.18 = 14,221.22/x
  3. Step 3: Cross multiply
    25,707x = 35,474.18 × 14,221.22
  4. Step 4: Simplify right side
    25,707x = 504,485,869.62
  5. Step 5: Solve for x
    x = 504,485,869.62/25,707
  6. Step 6: Final answer
    x = 19,624.46

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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.