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Finding the Fourth Proportional to 13,568.16, 20,306.16 and 7,716

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Solution

The fourth proportional to 13,568.16, 20,306.16 and 7,716 is: 11,547.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,568.16 : 20,306.16 = 7,716 : x
  2. Step 2: Convert to fraction form
    13,568.16/20,306.16 = 7,716/x
  3. Step 3: Cross multiply
    13,568.16x = 20,306.16 × 7,716
  4. Step 4: Simplify right side
    13,568.16x = 156,682,330.56
  5. Step 5: Solve for x
    x = 156,682,330.56/13,568.16
  6. Step 6: Final answer
    x = 11,547.80

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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.