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Finding the Fourth Proportional to 15,136.76, 22,699.38 and 6,923

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Solution

The fourth proportional to 15,136.76, 22,699.38 and 6,923 is: 10,381.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,136.76 : 22,699.38 = 6,923 : x
  2. Step 2: Convert to fraction form
    15,136.76/22,699.38 = 6,923/x
  3. Step 3: Cross multiply
    15,136.76x = 22,699.38 × 6,923
  4. Step 4: Simplify right side
    15,136.76x = 157,147,807.74
  5. Step 5: Solve for x
    x = 157,147,807.74/15,136.76
  6. Step 6: Final answer
    x = 10,381.87

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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.