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Finding the Fourth Proportional to 25,712, 35,481.06 and 14,226.23

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Solution

The fourth proportional to 25,712, 35,481.06 and 14,226.23 is: 19,631.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,712 : 35,481.06 = 14,226.23 : x
  2. Step 2: Convert to fraction form
    25,712/35,481.06 = 14,226.23/x
  3. Step 3: Cross multiply
    25,712x = 35,481.06 × 14,226.23
  4. Step 4: Simplify right side
    25,712x = 504,761,720.20
  5. Step 5: Solve for x
    x = 504,761,720.20/25,712
  6. Step 6: Final answer
    x = 19,631.37

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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.