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Finding the Fourth Proportional to 18,214.11, 27,317.32 and 9,319.91

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Solution

The fourth proportional to 18,214.11, 27,317.32 and 9,319.91 is: 13,977.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,214.11 : 27,317.32 = 9,319.91 : x
  2. Step 2: Convert to fraction form
    18,214.11/27,317.32 = 9,319.91/x
  3. Step 3: Cross multiply
    18,214.11x = 27,317.32 × 9,319.91
  4. Step 4: Simplify right side
    18,214.11x = 254,594,803.95
  5. Step 5: Solve for x
    x = 254,594,803.95/18,214.11
  6. Step 6: Final answer
    x = 13,977.89

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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.