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Finding the Fourth Proportional to 18,137.80, 27,206.70 and 8,782.30

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Solution

The fourth proportional to 18,137.80, 27,206.70 and 8,782.30 is: 13,173.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,137.80 : 27,206.70 = 8,782.30 : x
  2. Step 2: Convert to fraction form
    18,137.80/27,206.70 = 8,782.30/x
  3. Step 3: Cross multiply
    18,137.80x = 27,206.70 × 8,782.30
  4. Step 4: Simplify right side
    18,137.80x = 238,937,401.41
  5. Step 5: Solve for x
    x = 238,937,401.41/18,137.80
  6. Step 6: Final answer
    x = 13,173.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.