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Finding the Fourth Proportional to 13,677.74, 20,489.84 and 12,190.08

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Solution

The fourth proportional to 13,677.74, 20,489.84 and 12,190.08 is: 18,261.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677.74 : 20,489.84 = 12,190.08 : x
  2. Step 2: Convert to fraction form
    13,677.74/20,489.84 = 12,190.08/x
  3. Step 3: Cross multiply
    13,677.74x = 20,489.84 × 12,190.08
  4. Step 4: Simplify right side
    13,677.74x = 249,772,727.84
  5. Step 5: Solve for x
    x = 249,772,727.84/13,677.74
  6. Step 6: Final answer
    x = 18,261.25

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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.