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Finding the Fourth Proportional to 13,291.72, 19,930.59 and 5,892.98

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Solution

The fourth proportional to 13,291.72, 19,930.59 and 5,892.98 is: 8,836.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,291.72 : 19,930.59 = 5,892.98 : x
  2. Step 2: Convert to fraction form
    13,291.72/19,930.59 = 5,892.98/x
  3. Step 3: Cross multiply
    13,291.72x = 19,930.59 × 5,892.98
  4. Step 4: Simplify right side
    13,291.72x = 117,450,468.61
  5. Step 5: Solve for x
    x = 117,450,468.61/13,291.72
  6. Step 6: Final answer
    x = 8,836.37

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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.