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Finding the Fourth Proportional to 25,769, 35,561.22 and 14,591

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Solution

The fourth proportional to 25,769, 35,561.22 and 14,591 is: 20,135.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,769 : 35,561.22 = 14,591 : x
  2. Step 2: Convert to fraction form
    25,769/35,561.22 = 14,591/x
  3. Step 3: Cross multiply
    25,769x = 35,561.22 × 14,591
  4. Step 4: Simplify right side
    25,769x = 518,873,761.02
  5. Step 5: Solve for x
    x = 518,873,761.02/25,769
  6. Step 6: Final answer
    x = 20,135.58

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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.