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Finding the Fourth Proportional to 12,196.42, 16,831.02 and 6,607.42

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Solution

The fourth proportional to 12,196.42, 16,831.02 and 6,607.42 is: 9,118.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.42 : 16,831.02 = 6,607.42 : x
  2. Step 2: Convert to fraction form
    12,196.42/16,831.02 = 6,607.42/x
  3. Step 3: Cross multiply
    12,196.42x = 16,831.02 × 6,607.42
  4. Step 4: Simplify right side
    12,196.42x = 111,209,618.17
  5. Step 5: Solve for x
    x = 111,209,618.17/12,196.42
  6. Step 6: Final answer
    x = 9,118.22

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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.