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Finding the Fourth Proportional to 12,203.40, 16,839.36 and 6,897

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Solution

The fourth proportional to 12,203.40, 16,839.36 and 6,897 is: 9,517.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.40 : 16,839.36 = 6,897 : x
  2. Step 2: Convert to fraction form
    12,203.40/16,839.36 = 6,897/x
  3. Step 3: Cross multiply
    12,203.40x = 16,839.36 × 6,897
  4. Step 4: Simplify right side
    12,203.40x = 116,141,065.92
  5. Step 5: Solve for x
    x = 116,141,065.92/12,203.40
  6. Step 6: Final answer
    x = 9,517.11

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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.