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Finding the Fourth Proportional to 25,626, 35,370.36 and 14,454.48

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Solution

The fourth proportional to 25,626, 35,370.36 and 14,454.48 is: 19,950.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,626 : 35,370.36 = 14,454.48 : x
  2. Step 2: Convert to fraction form
    25,626/35,370.36 = 14,454.48/x
  3. Step 3: Cross multiply
    25,626x = 35,370.36 × 14,454.48
  4. Step 4: Simplify right side
    25,626x = 511,260,161.21
  5. Step 5: Solve for x
    x = 511,260,161.21/25,626
  6. Step 6: Final answer
    x = 19,950.84

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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.