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Finding the Fourth Proportional to 12,136.64, 16,749.28 and 6,831.68

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Solution

The fourth proportional to 12,136.64, 16,749.28 and 6,831.68 is: 9,428.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,136.64 : 16,749.28 = 6,831.68 : x
  2. Step 2: Convert to fraction form
    12,136.64/16,749.28 = 6,831.68/x
  3. Step 3: Cross multiply
    12,136.64x = 16,749.28 × 6,831.68
  4. Step 4: Simplify right side
    12,136.64x = 114,425,721.19
  5. Step 5: Solve for x
    x = 114,425,721.19/12,136.64
  6. Step 6: Final answer
    x = 9,428.12

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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.