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Finding the Fourth Proportional to 27,177.63, 40,772.58 and 9,647.46

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Solution

The fourth proportional to 27,177.63, 40,772.58 and 9,647.46 is: 14,473.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,177.63 : 40,772.58 = 9,647.46 : x
  2. Step 2: Convert to fraction form
    27,177.63/40,772.58 = 9,647.46/x
  3. Step 3: Cross multiply
    27,177.63x = 40,772.58 × 9,647.46
  4. Step 4: Simplify right side
    27,177.63x = 393,351,834.65
  5. Step 5: Solve for x
    x = 393,351,834.65/27,177.63
  6. Step 6: Final answer
    x = 14,473.37

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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.