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Finding the Fourth Proportional to 12,201.84, 16,839 and 6,897.24

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Solution

The fourth proportional to 12,201.84, 16,839 and 6,897.24 is: 9,518.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.84 : 16,839 = 6,897.24 : x
  2. Step 2: Convert to fraction form
    12,201.84/16,839 = 6,897.24/x
  3. Step 3: Cross multiply
    12,201.84x = 16,839 × 6,897.24
  4. Step 4: Simplify right side
    12,201.84x = 116,142,624.36
  5. Step 5: Solve for x
    x = 116,142,624.36/12,201.84
  6. Step 6: Final answer
    x = 9,518.45

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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.