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Finding the Fourth Proportional to 16,084.92, 24,118.74 and 7,321.80

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Solution

The fourth proportional to 16,084.92, 24,118.74 and 7,321.80 is: 10,978.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,084.92 : 24,118.74 = 7,321.80 : x
  2. Step 2: Convert to fraction form
    16,084.92/24,118.74 = 7,321.80/x
  3. Step 3: Cross multiply
    16,084.92x = 24,118.74 × 7,321.80
  4. Step 4: Simplify right side
    16,084.92x = 176,592,590.53
  5. Step 5: Solve for x
    x = 176,592,590.53/16,084.92
  6. Step 6: Final answer
    x = 10,978.77

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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.