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Finding the Fourth Proportional to 12,196.74, 16,831.54 and 6,607.78

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Solution

The fourth proportional to 12,196.74, 16,831.54 and 6,607.78 is: 9,118.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.74 : 16,831.54 = 6,607.78 : x
  2. Step 2: Convert to fraction form
    12,196.74/16,831.54 = 6,607.78/x
  3. Step 3: Cross multiply
    12,196.74x = 16,831.54 × 6,607.78
  4. Step 4: Simplify right side
    12,196.74x = 111,219,113.38
  5. Step 5: Solve for x
    x = 111,219,113.38/12,196.74
  6. Step 6: Final answer
    x = 9,118.76

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Why These Related Problems?

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