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Finding the Fourth Proportional to 19,846.57, 27,387.85 and 11,349.16

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Solution

The fourth proportional to 19,846.57, 27,387.85 and 11,349.16 is: 15,661.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,846.57 : 27,387.85 = 11,349.16 : x
  2. Step 2: Convert to fraction form
    19,846.57/27,387.85 = 11,349.16/x
  3. Step 3: Cross multiply
    19,846.57x = 27,387.85 × 11,349.16
  4. Step 4: Simplify right side
    19,846.57x = 310,829,138.28
  5. Step 5: Solve for x
    x = 310,829,138.28/19,846.57
  6. Step 6: Final answer
    x = 15,661.61

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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.