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Finding the Fourth Proportional to 25,832, 35,654.64 and 15,217.76

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Solution

The fourth proportional to 25,832, 35,654.64 and 15,217.76 is: 21,004.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,832 : 35,654.64 = 15,217.76 : x
  2. Step 2: Convert to fraction form
    25,832/35,654.64 = 15,217.76/x
  3. Step 3: Cross multiply
    25,832x = 35,654.64 × 15,217.76
  4. Step 4: Simplify right side
    25,832x = 542,583,754.41
  5. Step 5: Solve for x
    x = 542,583,754.41/25,832
  6. Step 6: Final answer
    x = 21,004.33

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1.5x scale

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.