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Finding the Fourth Proportional to 13,681.86, 20,519.80 and 3,686.37

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Solution

The fourth proportional to 13,681.86, 20,519.80 and 3,686.37 is: 5,528.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,681.86 : 20,519.80 = 3,686.37 : x
  2. Step 2: Convert to fraction form
    13,681.86/20,519.80 = 3,686.37/x
  3. Step 3: Cross multiply
    13,681.86x = 20,519.80 × 3,686.37
  4. Step 4: Simplify right side
    13,681.86x = 75,643,575.13
  5. Step 5: Solve for x
    x = 75,643,575.13/13,681.86
  6. Step 6: Final answer
    x = 5,528.75

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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.