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Finding the Fourth Proportional to 18,760.69, 28,116.23 and 9,857.83

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Solution

The fourth proportional to 18,760.69, 28,116.23 and 9,857.83 is: 14,773.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,760.69 : 28,116.23 = 9,857.83 : x
  2. Step 2: Convert to fraction form
    18,760.69/28,116.23 = 9,857.83/x
  3. Step 3: Cross multiply
    18,760.69x = 28,116.23 × 9,857.83
  4. Step 4: Simplify right side
    18,760.69x = 277,165,038.40
  5. Step 5: Solve for x
    x = 277,165,038.40/18,760.69
  6. Step 6: Final answer
    x = 14,773.71

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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.