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Finding the Fourth Proportional to 20,524.68, 30,755.70 and 10,667.16

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Solution

The fourth proportional to 20,524.68, 30,755.70 and 10,667.16 is: 15,984.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,524.68 : 30,755.70 = 10,667.16 : x
  2. Step 2: Convert to fraction form
    20,524.68/30,755.70 = 10,667.16/x
  3. Step 3: Cross multiply
    20,524.68x = 30,755.70 × 10,667.16
  4. Step 4: Simplify right side
    20,524.68x = 328,075,972.81
  5. Step 5: Solve for x
    x = 328,075,972.81/20,524.68
  6. Step 6: Final answer
    x = 15,984.46

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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.