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Finding the Fourth Proportional to 27,814.54, 41,727.18 and 9,089.53

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Solution

The fourth proportional to 27,814.54, 41,727.18 and 9,089.53 is: 13,636.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,814.54 : 41,727.18 = 9,089.53 : x
  2. Step 2: Convert to fraction form
    27,814.54/41,727.18 = 9,089.53/x
  3. Step 3: Cross multiply
    27,814.54x = 41,727.18 × 9,089.53
  4. Step 4: Simplify right side
    27,814.54x = 379,280,384.19
  5. Step 5: Solve for x
    x = 379,280,384.19/27,814.54
  6. Step 6: Final answer
    x = 13,636.05

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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.