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Finding the Fourth Proportional to 13,827.78, 19,082.09 and 7,540.16

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Solution

The fourth proportional to 13,827.78, 19,082.09 and 7,540.16 is: 10,405.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,827.78 : 19,082.09 = 7,540.16 : x
  2. Step 2: Convert to fraction form
    13,827.78/19,082.09 = 7,540.16/x
  3. Step 3: Cross multiply
    13,827.78x = 19,082.09 × 7,540.16
  4. Step 4: Simplify right side
    13,827.78x = 143,881,878.62
  5. Step 5: Solve for x
    x = 143,881,878.62/13,827.78
  6. Step 6: Final answer
    x = 10,405.28

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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.