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Finding the Fourth Proportional to 16,408.31, 22,642.11 and 9,238.88

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Solution

The fourth proportional to 16,408.31, 22,642.11 and 9,238.88 is: 12,748.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,408.31 : 22,642.11 = 9,238.88 : x
  2. Step 2: Convert to fraction form
    16,408.31/22,642.11 = 9,238.88/x
  3. Step 3: Cross multiply
    16,408.31x = 22,642.11 × 9,238.88
  4. Step 4: Simplify right side
    16,408.31x = 209,187,746.72
  5. Step 5: Solve for x
    x = 209,187,746.72/16,408.31
  6. Step 6: Final answer
    x = 12,748.89

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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.