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Finding the Fourth Proportional to 26,856.72, 40,281.98 and 7,136.87

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Solution

The fourth proportional to 26,856.72, 40,281.98 and 7,136.87 is: 10,704.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,856.72 : 40,281.98 = 7,136.87 : x
  2. Step 2: Convert to fraction form
    26,856.72/40,281.98 = 7,136.87/x
  3. Step 3: Cross multiply
    26,856.72x = 40,281.98 × 7,136.87
  4. Step 4: Simplify right side
    26,856.72x = 287,487,017.51
  5. Step 5: Solve for x
    x = 287,487,017.51/26,856.72
  6. Step 6: Final answer
    x = 10,704.47

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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.