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Finding the Fourth Proportional to 12,196.71, 16,831.53 and 6,607.71

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Solution

The fourth proportional to 12,196.71, 16,831.53 and 6,607.71 is: 9,118.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.71 : 16,831.53 = 6,607.71 : x
  2. Step 2: Convert to fraction form
    12,196.71/16,831.53 = 6,607.71/x
  3. Step 3: Cross multiply
    12,196.71x = 16,831.53 × 6,607.71
  4. Step 4: Simplify right side
    12,196.71x = 111,217,869.10
  5. Step 5: Solve for x
    x = 111,217,869.10/12,196.71
  6. Step 6: Final answer
    x = 9,118.68

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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.