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Finding the Fourth Proportional to 24,812.56, 34,241.16 and 13,634.80

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Solution

The fourth proportional to 24,812.56, 34,241.16 and 13,634.80 is: 18,815.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,812.56 : 34,241.16 = 13,634.80 : x
  2. Step 2: Convert to fraction form
    24,812.56/34,241.16 = 13,634.80/x
  3. Step 3: Cross multiply
    24,812.56x = 34,241.16 × 13,634.80
  4. Step 4: Simplify right side
    24,812.56x = 466,871,368.37
  5. Step 5: Solve for x
    x = 466,871,368.37/24,812.56
  6. Step 6: Final answer
    x = 18,815.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.