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Finding the Fourth Proportional to 13,025.68, 19,540.94 and 4,261.06

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Solution

The fourth proportional to 13,025.68, 19,540.94 and 4,261.06 is: 6,392.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,025.68 : 19,540.94 = 4,261.06 : x
  2. Step 2: Convert to fraction form
    13,025.68/19,540.94 = 4,261.06/x
  3. Step 3: Cross multiply
    13,025.68x = 19,540.94 × 4,261.06
  4. Step 4: Simplify right side
    13,025.68x = 83,265,117.80
  5. Step 5: Solve for x
    x = 83,265,117.80/13,025.68
  6. Step 6: Final answer
    x = 6,392.38

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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.