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Finding the Fourth Proportional to 13,105.68, 19,656.60 and 3,870.48

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Solution

The fourth proportional to 13,105.68, 19,656.60 and 3,870.48 is: 5,805.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,105.68 : 19,656.60 = 3,870.48 : x
  2. Step 2: Convert to fraction form
    13,105.68/19,656.60 = 3,870.48/x
  3. Step 3: Cross multiply
    13,105.68x = 19,656.60 × 3,870.48
  4. Step 4: Simplify right side
    13,105.68x = 76,080,477.17
  5. Step 5: Solve for x
    x = 76,080,477.17/13,105.68
  6. Step 6: Final answer
    x = 5,805.15

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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.