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Finding the Fourth Proportional to 18,209.13, 27,316.73 and 8,865.78

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Solution

The fourth proportional to 18,209.13, 27,316.73 and 8,865.78 is: 13,300.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,209.13 : 27,316.73 = 8,865.78 : x
  2. Step 2: Convert to fraction form
    18,209.13/27,316.73 = 8,865.78/x
  3. Step 3: Cross multiply
    18,209.13x = 27,316.73 × 8,865.78
  4. Step 4: Simplify right side
    18,209.13x = 242,184,118.50
  5. Step 5: Solve for x
    x = 242,184,118.50/18,209.13
  6. Step 6: Final answer
    x = 13,300.15

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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.