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Finding the Fourth Proportional to 16,502.22, 24,712.32 and 11,548.68

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Solution

The fourth proportional to 16,502.22, 24,712.32 and 11,548.68 is: 17,294.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,502.22 : 24,712.32 = 11,548.68 : x
  2. Step 2: Convert to fraction form
    16,502.22/24,712.32 = 11,548.68/x
  3. Step 3: Cross multiply
    16,502.22x = 24,712.32 × 11,548.68
  4. Step 4: Simplify right side
    16,502.22x = 285,394,675.74
  5. Step 5: Solve for x
    x = 285,394,675.74/16,502.22
  6. Step 6: Final answer
    x = 17,294.32

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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.