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Finding the Fourth Proportional to 18,316.98, 27,476.84 and 7,785.83

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Solution

The fourth proportional to 18,316.98, 27,476.84 and 7,785.83 is: 11,679.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,316.98 : 27,476.84 = 7,785.83 : x
  2. Step 2: Convert to fraction form
    18,316.98/27,476.84 = 7,785.83/x
  3. Step 3: Cross multiply
    18,316.98x = 27,476.84 × 7,785.83
  4. Step 4: Simplify right side
    18,316.98x = 213,929,828.86
  5. Step 5: Solve for x
    x = 213,929,828.86/18,316.98
  6. Step 6: Final answer
    x = 11,679.32

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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.