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Finding the Fourth Proportional to 13,260, 19,840.56 and 7,998.24

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Solution

The fourth proportional to 13,260, 19,840.56 and 7,998.24 is: 11,967.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,260 : 19,840.56 = 7,998.24 : x
  2. Step 2: Convert to fraction form
    13,260/19,840.56 = 7,998.24/x
  3. Step 3: Cross multiply
    13,260x = 19,840.56 × 7,998.24
  4. Step 4: Simplify right side
    13,260x = 158,689,560.61
  5. Step 5: Solve for x
    x = 158,689,560.61/13,260
  6. Step 6: Final answer
    x = 11,967.54

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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.