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Finding the Fourth Proportional to 13,314.24, 19,972.42 and 7,768.15

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Solution

The fourth proportional to 13,314.24, 19,972.42 and 7,768.15 is: 11,652.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,314.24 : 19,972.42 = 7,768.15 : x
  2. Step 2: Convert to fraction form
    13,314.24/19,972.42 = 7,768.15/x
  3. Step 3: Cross multiply
    13,314.24x = 19,972.42 × 7,768.15
  4. Step 4: Simplify right side
    13,314.24x = 155,148,841.11
  5. Step 5: Solve for x
    x = 155,148,841.11/13,314.24
  6. Step 6: Final answer
    x = 11,652.85

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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.