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Finding the Fourth Proportional to 18,209.13, 27,257.10 and 9,868.45

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Solution

The fourth proportional to 18,209.13, 27,257.10 and 9,868.45 is: 14,772.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,209.13 : 27,257.10 = 9,868.45 : x
  2. Step 2: Convert to fraction form
    18,209.13/27,257.10 = 9,868.45/x
  3. Step 3: Cross multiply
    18,209.13x = 27,257.10 × 9,868.45
  4. Step 4: Simplify right side
    18,209.13x = 268,985,328.50
  5. Step 5: Solve for x
    x = 268,985,328.50/18,209.13
  6. Step 6: Final answer
    x = 14,772.00

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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.