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Finding the Fourth Proportional to 18,523.80, 27,785.70 and 9,666.45

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Solution

The fourth proportional to 18,523.80, 27,785.70 and 9,666.45 is: 14,499.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,523.80 : 27,785.70 = 9,666.45 : x
  2. Step 2: Convert to fraction form
    18,523.80/27,785.70 = 9,666.45/x
  3. Step 3: Cross multiply
    18,523.80x = 27,785.70 × 9,666.45
  4. Step 4: Simplify right side
    18,523.80x = 268,589,079.77
  5. Step 5: Solve for x
    x = 268,589,079.77/18,523.80
  6. Step 6: Final answer
    x = 14,499.68

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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.