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Finding the Fourth Proportional to 16,586.34, 24,879.25 and 6,056.32

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Solution

The fourth proportional to 16,586.34, 24,879.25 and 6,056.32 is: 9,084.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,586.34 : 24,879.25 = 6,056.32 : x
  2. Step 2: Convert to fraction form
    16,586.34/24,879.25 = 6,056.32/x
  3. Step 3: Cross multiply
    16,586.34x = 24,879.25 × 6,056.32
  4. Step 4: Simplify right side
    16,586.34x = 150,676,691.38
  5. Step 5: Solve for x
    x = 150,676,691.38/16,586.34
  6. Step 6: Final answer
    x = 9,084.38

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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.