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Finding the Fourth Proportional to 27,719.32, 41,597.14 and 10,189.24

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Solution

The fourth proportional to 27,719.32, 41,597.14 and 10,189.24 is: 15,290.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,719.32 : 41,597.14 = 10,189.24 : x
  2. Step 2: Convert to fraction form
    27,719.32/41,597.14 = 10,189.24/x
  3. Step 3: Cross multiply
    27,719.32x = 41,597.14 × 10,189.24
  4. Step 4: Simplify right side
    27,719.32x = 423,843,242.77
  5. Step 5: Solve for x
    x = 423,843,242.77/27,719.32
  6. Step 6: Final answer
    x = 15,290.54

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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.