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Finding the Fourth Proportional to 16,081.29, 24,131.43 and 8,971.50

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Solution

The fourth proportional to 16,081.29, 24,131.43 and 8,971.50 is: 13,462.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,081.29 : 24,131.43 = 8,971.50 : x
  2. Step 2: Convert to fraction form
    16,081.29/24,131.43 = 8,971.50/x
  3. Step 3: Cross multiply
    16,081.29x = 24,131.43 × 8,971.50
  4. Step 4: Simplify right side
    16,081.29x = 216,495,124.25
  5. Step 5: Solve for x
    x = 216,495,124.25/16,081.29
  6. Step 6: Final answer
    x = 13,462.55

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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.