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Finding the Fourth Proportional to 21,380.13, 29,512.80 and 19,138.05

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Solution

The fourth proportional to 21,380.13, 29,512.80 and 19,138.05 is: 26,417.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,380.13 : 29,512.80 = 19,138.05 : x
  2. Step 2: Convert to fraction form
    21,380.13/29,512.80 = 19,138.05/x
  3. Step 3: Cross multiply
    21,380.13x = 29,512.80 × 19,138.05
  4. Step 4: Simplify right side
    21,380.13x = 564,817,442.04
  5. Step 5: Solve for x
    x = 564,817,442.04/21,380.13
  6. Step 6: Final answer
    x = 26,417.87

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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.