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Finding the Fourth Proportional to 13,827.76, 19,082.10 and 7,540

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Solution

The fourth proportional to 13,827.76, 19,082.10 and 7,540 is: 10,405.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,827.76 : 19,082.10 = 7,540 : x
  2. Step 2: Convert to fraction form
    13,827.76/19,082.10 = 7,540/x
  3. Step 3: Cross multiply
    13,827.76x = 19,082.10 × 7,540
  4. Step 4: Simplify right side
    13,827.76x = 143,879,034
  5. Step 5: Solve for x
    x = 143,879,034/13,827.76
  6. Step 6: Final answer
    x = 10,405.09

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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.