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Finding the Fourth Proportional to 19,138.83, 26,383.77 and 13,456.14

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Solution

The fourth proportional to 19,138.83, 26,383.77 and 13,456.14 is: 18,549.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,138.83 : 26,383.77 = 13,456.14 : x
  2. Step 2: Convert to fraction form
    19,138.83/26,383.77 = 13,456.14/x
  3. Step 3: Cross multiply
    19,138.83x = 26,383.77 × 13,456.14
  4. Step 4: Simplify right side
    19,138.83x = 355,023,702.85
  5. Step 5: Solve for x
    x = 355,023,702.85/19,138.83
  6. Step 6: Final answer
    x = 18,549.92

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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.