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Finding the Fourth Proportional to 13,827.68, 19,082.18 and 7,540.06

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Solution

The fourth proportional to 13,827.68, 19,082.18 and 7,540.06 is: 10,405.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,827.68 : 19,082.18 = 7,540.06 : x
  2. Step 2: Convert to fraction form
    13,827.68/19,082.18 = 7,540.06/x
  3. Step 3: Cross multiply
    13,827.68x = 19,082.18 × 7,540.06
  4. Step 4: Simplify right side
    13,827.68x = 143,880,782.13
  5. Step 5: Solve for x
    x = 143,880,782.13/13,827.68
  6. Step 6: Final answer
    x = 10,405.27

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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.