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Finding the Fourth Proportional to 27,206.57, 40,817.75 and 9,677.76

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Solution

The fourth proportional to 27,206.57, 40,817.75 and 9,677.76 is: 14,519.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,206.57 : 40,817.75 = 9,677.76 : x
  2. Step 2: Convert to fraction form
    27,206.57/40,817.75 = 9,677.76/x
  3. Step 3: Cross multiply
    27,206.57x = 40,817.75 × 9,677.76
  4. Step 4: Simplify right side
    27,206.57x = 395,024,388.24
  5. Step 5: Solve for x
    x = 395,024,388.24/27,206.57
  6. Step 6: Final answer
    x = 14,519.45

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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.