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Finding the Fourth Proportional to 21,634.56, 32,400 and 19,301.76

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Solution

The fourth proportional to 21,634.56, 32,400 and 19,301.76 is: 28,906.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,634.56 : 32,400 = 19,301.76 : x
  2. Step 2: Convert to fraction form
    21,634.56/32,400 = 19,301.76/x
  3. Step 3: Cross multiply
    21,634.56x = 32,400 × 19,301.76
  4. Step 4: Simplify right side
    21,634.56x = 625,377,024
  5. Step 5: Solve for x
    x = 625,377,024/21,634.56
  6. Step 6: Final answer
    x = 28,906.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.