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Finding the Fourth Proportional to 27,007.41, 40,515.16 and 9,474.15

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Solution

The fourth proportional to 27,007.41, 40,515.16 and 9,474.15 is: 14,212.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,007.41 : 40,515.16 = 9,474.15 : x
  2. Step 2: Convert to fraction form
    27,007.41/40,515.16 = 9,474.15/x
  3. Step 3: Cross multiply
    27,007.41x = 40,515.16 × 9,474.15
  4. Step 4: Simplify right side
    27,007.41x = 383,846,703.11
  5. Step 5: Solve for x
    x = 383,846,703.11/27,007.41
  6. Step 6: Final answer
    x = 14,212.64

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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.