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Finding the Fourth Proportional to 21,726.72, 32,578.56 and 9,408

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Solution

The fourth proportional to 21,726.72, 32,578.56 and 9,408 is: 14,107.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,726.72 : 32,578.56 = 9,408 : x
  2. Step 2: Convert to fraction form
    21,726.72/32,578.56 = 9,408/x
  3. Step 3: Cross multiply
    21,726.72x = 32,578.56 × 9,408
  4. Step 4: Simplify right side
    21,726.72x = 306,499,092.48
  5. Step 5: Solve for x
    x = 306,499,092.48/21,726.72
  6. Step 6: Final answer
    x = 14,107.01

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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.