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Finding the Fourth Proportional to 18,653.50, 27,988.08 and 7,568.11

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Solution

The fourth proportional to 18,653.50, 27,988.08 and 7,568.11 is: 11,355.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,653.50 : 27,988.08 = 7,568.11 : x
  2. Step 2: Convert to fraction form
    18,653.50/27,988.08 = 7,568.11/x
  3. Step 3: Cross multiply
    18,653.50x = 27,988.08 × 7,568.11
  4. Step 4: Simplify right side
    18,653.50x = 211,816,868.13
  5. Step 5: Solve for x
    x = 211,816,868.13/18,653.50
  6. Step 6: Final answer
    x = 11,355.34

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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.