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Finding the Fourth Proportional to 17,648.35, 24,351.60 and 11,677.84

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Solution

The fourth proportional to 17,648.35, 24,351.60 and 11,677.84 is: 16,113.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,648.35 : 24,351.60 = 11,677.84 : x
  2. Step 2: Convert to fraction form
    17,648.35/24,351.60 = 11,677.84/x
  3. Step 3: Cross multiply
    17,648.35x = 24,351.60 × 11,677.84
  4. Step 4: Simplify right side
    17,648.35x = 284,374,088.54
  5. Step 5: Solve for x
    x = 284,374,088.54/17,648.35
  6. Step 6: Final answer
    x = 16,113.35

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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.