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Finding the Fourth Proportional to 27,200.39, 40,775.95 and 9,666.11

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Solution

The fourth proportional to 27,200.39, 40,775.95 and 9,666.11 is: 14,490.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,200.39 : 40,775.95 = 9,666.11 : x
  2. Step 2: Convert to fraction form
    27,200.39/40,775.95 = 9,666.11/x
  3. Step 3: Cross multiply
    27,200.39x = 40,775.95 × 9,666.11
  4. Step 4: Simplify right side
    27,200.39x = 394,144,895.83
  5. Step 5: Solve for x
    x = 394,144,895.83/27,200.39
  6. Step 6: Final answer
    x = 14,490.42

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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.