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Finding the Fourth Proportional to 19,957.82, 27,541.34 and 11,005.16

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Solution

The fourth proportional to 19,957.82, 27,541.34 and 11,005.16 is: 15,186.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,957.82 : 27,541.34 = 11,005.16 : x
  2. Step 2: Convert to fraction form
    19,957.82/27,541.34 = 11,005.16/x
  3. Step 3: Cross multiply
    19,957.82x = 27,541.34 × 11,005.16
  4. Step 4: Simplify right side
    19,957.82x = 303,096,853.31
  5. Step 5: Solve for x
    x = 303,096,853.31/19,957.82
  6. Step 6: Final answer
    x = 15,186.87

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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.