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Finding the Fourth Proportional to 25,905.28, 38,861.76 and 9,488

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Solution

The fourth proportional to 25,905.28, 38,861.76 and 9,488 is: 14,233.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,905.28 : 38,861.76 = 9,488 : x
  2. Step 2: Convert to fraction form
    25,905.28/38,861.76 = 9,488/x
  3. Step 3: Cross multiply
    25,905.28x = 38,861.76 × 9,488
  4. Step 4: Simplify right side
    25,905.28x = 368,720,378.88
  5. Step 5: Solve for x
    x = 368,720,378.88/25,905.28
  6. Step 6: Final answer
    x = 14,233.41

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