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Finding the Fourth Proportional to 27,247.64, 37,601.94 and 15,311

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Solution

The fourth proportional to 27,247.64, 37,601.94 and 15,311 is: 21,129.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,247.64 : 37,601.94 = 15,311 : x
  2. Step 2: Convert to fraction form
    27,247.64/37,601.94 = 15,311/x
  3. Step 3: Cross multiply
    27,247.64x = 37,601.94 × 15,311
  4. Step 4: Simplify right side
    27,247.64x = 575,723,303.34
  5. Step 5: Solve for x
    x = 575,723,303.34/27,247.64
  6. Step 6: Final answer
    x = 21,129.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.