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Finding the Fourth Proportional to 12,657.68, 18,991.42 and 5,260.24

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Solution

The fourth proportional to 12,657.68, 18,991.42 and 5,260.24 is: 7,892.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.68 : 18,991.42 = 5,260.24 : x
  2. Step 2: Convert to fraction form
    12,657.68/18,991.42 = 5,260.24/x
  3. Step 3: Cross multiply
    12,657.68x = 18,991.42 × 5,260.24
  4. Step 4: Simplify right side
    12,657.68x = 99,899,427.14
  5. Step 5: Solve for x
    x = 99,899,427.14/12,657.68
  6. Step 6: Final answer
    x = 7,892.40

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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.