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Finding the Fourth Proportional to 21,876.16, 32,713.92 and 16,333.12

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Solution

The fourth proportional to 21,876.16, 32,713.92 and 16,333.12 is: 24,424.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,876.16 : 32,713.92 = 16,333.12 : x
  2. Step 2: Convert to fraction form
    21,876.16/32,713.92 = 16,333.12/x
  3. Step 3: Cross multiply
    21,876.16x = 32,713.92 × 16,333.12
  4. Step 4: Simplify right side
    21,876.16x = 534,320,381.03
  5. Step 5: Solve for x
    x = 534,320,381.03/21,876.16
  6. Step 6: Final answer
    x = 24,424.78

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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.