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Finding the Fourth Proportional to 26,136.72, 39,204.72 and 6,415.20

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Solution

The fourth proportional to 26,136.72, 39,204.72 and 6,415.20 is: 9,622.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,136.72 : 39,204.72 = 6,415.20 : x
  2. Step 2: Convert to fraction form
    26,136.72/39,204.72 = 6,415.20/x
  3. Step 3: Cross multiply
    26,136.72x = 39,204.72 × 6,415.20
  4. Step 4: Simplify right side
    26,136.72x = 251,506,119.74
  5. Step 5: Solve for x
    x = 251,506,119.74/26,136.72
  6. Step 6: Final answer
    x = 9,622.71

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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.