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Finding the Fourth Proportional to 27,785.48, 41,657.25 and 9,054.33

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Solution

The fourth proportional to 27,785.48, 41,657.25 and 9,054.33 is: 13,574.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,785.48 : 41,657.25 = 9,054.33 : x
  2. Step 2: Convert to fraction form
    27,785.48/41,657.25 = 9,054.33/x
  3. Step 3: Cross multiply
    27,785.48x = 41,657.25 × 9,054.33
  4. Step 4: Simplify right side
    27,785.48x = 377,178,280.11
  5. Step 5: Solve for x
    x = 377,178,280.11/27,785.48
  6. Step 6: Final answer
    x = 13,574.66

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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.