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Finding the Fourth Proportional to 12,136.74, 16,749.24 and 6,831.90

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Solution

The fourth proportional to 12,136.74, 16,749.24 and 6,831.90 is: 9,428.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,136.74 : 16,749.24 = 6,831.90 : x
  2. Step 2: Convert to fraction form
    12,136.74/16,749.24 = 6,831.90/x
  3. Step 3: Cross multiply
    12,136.74x = 16,749.24 × 6,831.90
  4. Step 4: Simplify right side
    12,136.74x = 114,429,132.76
  5. Step 5: Solve for x
    x = 114,429,132.76/12,136.74
  6. Step 6: Final answer
    x = 9,428.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.