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Finding the Fourth Proportional to 13,830.08, 19,082.40 and 8,240

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Solution

The fourth proportional to 13,830.08, 19,082.40 and 8,240 is: 11,369.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.08 : 19,082.40 = 8,240 : x
  2. Step 2: Convert to fraction form
    13,830.08/19,082.40 = 8,240/x
  3. Step 3: Cross multiply
    13,830.08x = 19,082.40 × 8,240
  4. Step 4: Simplify right side
    13,830.08x = 157,238,976
  5. Step 5: Solve for x
    x = 157,238,976/13,830.08
  6. Step 6: Final answer
    x = 11,369.35

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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.