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Finding the Fourth Proportional to 12,897.84, 19,346.76 and 3,537.90

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Solution

The fourth proportional to 12,897.84, 19,346.76 and 3,537.90 is: 5,306.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.84 : 19,346.76 = 3,537.90 : x
  2. Step 2: Convert to fraction form
    12,897.84/19,346.76 = 3,537.90/x
  3. Step 3: Cross multiply
    12,897.84x = 19,346.76 × 3,537.90
  4. Step 4: Simplify right side
    12,897.84x = 68,446,902.20
  5. Step 5: Solve for x
    x = 68,446,902.20/12,897.84
  6. Step 6: Final answer
    x = 5,306.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.