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Finding the Fourth Proportional to 27,698.16, 41,565.68 and 12,908.60

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Solution

The fourth proportional to 27,698.16, 41,565.68 and 12,908.60 is: 19,371.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,698.16 : 41,565.68 = 12,908.60 : x
  2. Step 2: Convert to fraction form
    27,698.16/41,565.68 = 12,908.60/x
  3. Step 3: Cross multiply
    27,698.16x = 41,565.68 × 12,908.60
  4. Step 4: Simplify right side
    27,698.16x = 536,554,736.85
  5. Step 5: Solve for x
    x = 536,554,736.85/27,698.16
  6. Step 6: Final answer
    x = 19,371.49

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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.