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Finding the Fourth Proportional to 13,892.63, 19,171.82 and 7,605

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Solution

The fourth proportional to 13,892.63, 19,171.82 and 7,605 is: 10,494.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,892.63 : 19,171.82 = 7,605 : x
  2. Step 2: Convert to fraction form
    13,892.63/19,171.82 = 7,605/x
  3. Step 3: Cross multiply
    13,892.63x = 19,171.82 × 7,605
  4. Step 4: Simplify right side
    13,892.63x = 145,801,710.11
  5. Step 5: Solve for x
    x = 145,801,710.11/13,892.63
  6. Step 6: Final answer
    x = 10,494.90

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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.