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Finding the Fourth Proportional to 14,568.16, 21,850.08 and 5,332

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Solution

The fourth proportional to 14,568.16, 21,850.08 and 5,332 is: 7,997.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,568.16 : 21,850.08 = 5,332 : x
  2. Step 2: Convert to fraction form
    14,568.16/21,850.08 = 5,332/x
  3. Step 3: Cross multiply
    14,568.16x = 21,850.08 × 5,332
  4. Step 4: Simplify right side
    14,568.16x = 116,504,626.56
  5. Step 5: Solve for x
    x = 116,504,626.56/14,568.16
  6. Step 6: Final answer
    x = 7,997.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.