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Finding the Fourth Proportional to 16,380.18, 24,549.69 and 7,009.18

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Solution

The fourth proportional to 16,380.18, 24,549.69 and 7,009.18 is: 10,504.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,380.18 : 24,549.69 = 7,009.18 : x
  2. Step 2: Convert to fraction form
    16,380.18/24,549.69 = 7,009.18/x
  3. Step 3: Cross multiply
    16,380.18x = 24,549.69 × 7,009.18
  4. Step 4: Simplify right side
    16,380.18x = 172,073,196.15
  5. Step 5: Solve for x
    x = 172,073,196.15/16,380.18
  6. Step 6: Final answer
    x = 10,504.96

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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.