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Finding the Fourth Proportional to 13,500.84, 20,217.78 and 9,345

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Solution

The fourth proportional to 13,500.84, 20,217.78 and 9,345 is: 13,994.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,500.84 : 20,217.78 = 9,345 : x
  2. Step 2: Convert to fraction form
    13,500.84/20,217.78 = 9,345/x
  3. Step 3: Cross multiply
    13,500.84x = 20,217.78 × 9,345
  4. Step 4: Simplify right side
    13,500.84x = 188,935,154.10
  5. Step 5: Solve for x
    x = 188,935,154.10/13,500.84
  6. Step 6: Final answer
    x = 13,994.33

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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.