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Finding the Fourth Proportional to 26,638.84, 39,958.28 and 6,915.74

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Solution

The fourth proportional to 26,638.84, 39,958.28 and 6,915.74 is: 10,373.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,638.84 : 39,958.28 = 6,915.74 : x
  2. Step 2: Convert to fraction form
    26,638.84/39,958.28 = 6,915.74/x
  3. Step 3: Cross multiply
    26,638.84x = 39,958.28 × 6,915.74
  4. Step 4: Simplify right side
    26,638.84x = 276,341,040.75
  5. Step 5: Solve for x
    x = 276,341,040.75/26,638.84
  6. Step 6: Final answer
    x = 10,373.62

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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.