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Finding the Fourth Proportional to 25,861.52, 38,715.74 and 15,969

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Solution

The fourth proportional to 25,861.52, 38,715.74 and 15,969 is: 23,906.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,861.52 : 38,715.74 = 15,969 : x
  2. Step 2: Convert to fraction form
    25,861.52/38,715.74 = 15,969/x
  3. Step 3: Cross multiply
    25,861.52x = 38,715.74 × 15,969
  4. Step 4: Simplify right side
    25,861.52x = 618,251,652.06
  5. Step 5: Solve for x
    x = 618,251,652.06/25,861.52
  6. Step 6: Final answer
    x = 23,906.24

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1.5x scale

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.