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Finding the Fourth Proportional to 13,332, 19,998.48 and 5,011.14

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Solution

The fourth proportional to 13,332, 19,998.48 and 5,011.14 is: 7,516.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,332 : 19,998.48 = 5,011.14 : x
  2. Step 2: Convert to fraction form
    13,332/19,998.48 = 5,011.14/x
  3. Step 3: Cross multiply
    13,332x = 19,998.48 × 5,011.14
  4. Step 4: Simplify right side
    13,332x = 100,215,183.07
  5. Step 5: Solve for x
    x = 100,215,183.07/13,332
  6. Step 6: Final answer
    x = 7,516.89

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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.