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Finding the Fourth Proportional to 25,903.32, 38,861.82 and 9,265.02

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Solution

The fourth proportional to 25,903.32, 38,861.82 and 9,265.02 is: 13,899.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,903.32 : 38,861.82 = 9,265.02 : x
  2. Step 2: Convert to fraction form
    25,903.32/38,861.82 = 9,265.02/x
  3. Step 3: Cross multiply
    25,903.32x = 38,861.82 × 9,265.02
  4. Step 4: Simplify right side
    25,903.32x = 360,055,539.54
  5. Step 5: Solve for x
    x = 360,055,539.54/25,903.32
  6. Step 6: Final answer
    x = 13,899.98

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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.