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Finding the Fourth Proportional to 13,209.84, 19,815.84 and 6,632.64

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Solution

The fourth proportional to 13,209.84, 19,815.84 and 6,632.64 is: 9,949.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,209.84 : 19,815.84 = 6,632.64 : x
  2. Step 2: Convert to fraction form
    13,209.84/19,815.84 = 6,632.64/x
  3. Step 3: Cross multiply
    13,209.84x = 19,815.84 × 6,632.64
  4. Step 4: Simplify right side
    13,209.84x = 131,431,333.02
  5. Step 5: Solve for x
    x = 131,431,333.02/13,209.84
  6. Step 6: Final answer
    x = 9,949.50

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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.