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Finding the Fourth Proportional to 16,436.57, 24,654.70 and 7,083.20

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Solution

The fourth proportional to 16,436.57, 24,654.70 and 7,083.20 is: 10,624.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,436.57 : 24,654.70 = 7,083.20 : x
  2. Step 2: Convert to fraction form
    16,436.57/24,654.70 = 7,083.20/x
  3. Step 3: Cross multiply
    16,436.57x = 24,654.70 × 7,083.20
  4. Step 4: Simplify right side
    16,436.57x = 174,634,047.77
  5. Step 5: Solve for x
    x = 174,634,047.77/16,436.57
  6. Step 6: Final answer
    x = 10,624.73

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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.