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Finding the Fourth Proportional to 16,423.75, 22,665.32 and 8,971.75

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Solution

The fourth proportional to 16,423.75, 22,665.32 and 8,971.75 is: 12,381.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,423.75 : 22,665.32 = 8,971.75 : x
  2. Step 2: Convert to fraction form
    16,423.75/22,665.32 = 8,971.75/x
  3. Step 3: Cross multiply
    16,423.75x = 22,665.32 × 8,971.75
  4. Step 4: Simplify right side
    16,423.75x = 203,347,584.71
  5. Step 5: Solve for x
    x = 203,347,584.71/16,423.75
  6. Step 6: Final answer
    x = 12,381.31

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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.