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Finding the Fourth Proportional to 16,267.72, 24,381.90 and 11,641

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Solution

The fourth proportional to 16,267.72, 24,381.90 and 11,641 is: 17,447.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,267.72 : 24,381.90 = 11,641 : x
  2. Step 2: Convert to fraction form
    16,267.72/24,381.90 = 11,641/x
  3. Step 3: Cross multiply
    16,267.72x = 24,381.90 × 11,641
  4. Step 4: Simplify right side
    16,267.72x = 283,829,697.90
  5. Step 5: Solve for x
    x = 283,829,697.90/16,267.72
  6. Step 6: Final answer
    x = 17,447.42

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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.