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Finding the Fourth Proportional to 25,937.78, 35,770.50 and 16,982.01

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Solution

The fourth proportional to 25,937.78, 35,770.50 and 16,982.01 is: 23,419.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,937.78 : 35,770.50 = 16,982.01 : x
  2. Step 2: Convert to fraction form
    25,937.78/35,770.50 = 16,982.01/x
  3. Step 3: Cross multiply
    25,937.78x = 35,770.50 × 16,982.01
  4. Step 4: Simplify right side
    25,937.78x = 607,454,988.71
  5. Step 5: Solve for x
    x = 607,454,988.71/25,937.78
  6. Step 6: Final answer
    x = 23,419.70

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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.