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Finding the Fourth Proportional to 27,597.23, 41,398.80 and 11,803.90

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Solution

The fourth proportional to 27,597.23, 41,398.80 and 11,803.90 is: 17,707.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,597.23 : 41,398.80 = 11,803.90 : x
  2. Step 2: Convert to fraction form
    27,597.23/41,398.80 = 11,803.90/x
  3. Step 3: Cross multiply
    27,597.23x = 41,398.80 × 11,803.90
  4. Step 4: Simplify right side
    27,597.23x = 488,667,295.32
  5. Step 5: Solve for x
    x = 488,667,295.32/27,597.23
  6. Step 6: Final answer
    x = 17,707.11

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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.