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Finding the Fourth Proportional to 13,726.36, 20,584.14 and 4,841.20

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Solution

The fourth proportional to 13,726.36, 20,584.14 and 4,841.20 is: 7,259.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,726.36 : 20,584.14 = 4,841.20 : x
  2. Step 2: Convert to fraction form
    13,726.36/20,584.14 = 4,841.20/x
  3. Step 3: Cross multiply
    13,726.36x = 20,584.14 × 4,841.20
  4. Step 4: Simplify right side
    13,726.36x = 99,651,938.57
  5. Step 5: Solve for x
    x = 99,651,938.57/13,726.36
  6. Step 6: Final answer
    x = 7,259.90

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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.