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Finding the Fourth Proportional to 25,561.98, 38,292.89 and 16,770.24

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Solution

The fourth proportional to 25,561.98, 38,292.89 and 16,770.24 is: 25,122.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,561.98 : 38,292.89 = 16,770.24 : x
  2. Step 2: Convert to fraction form
    25,561.98/38,292.89 = 16,770.24/x
  3. Step 3: Cross multiply
    25,561.98x = 38,292.89 × 16,770.24
  4. Step 4: Simplify right side
    25,561.98x = 642,180,871.74
  5. Step 5: Solve for x
    x = 642,180,871.74/25,561.98
  6. Step 6: Final answer
    x = 25,122.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.