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Finding the Fourth Proportional to 12,314.52, 18,458.10 and 9,383.16

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Solution

The fourth proportional to 12,314.52, 18,458.10 and 9,383.16 is: 14,064.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.52 : 18,458.10 = 9,383.16 : x
  2. Step 2: Convert to fraction form
    12,314.52/18,458.10 = 9,383.16/x
  3. Step 3: Cross multiply
    12,314.52x = 18,458.10 × 9,383.16
  4. Step 4: Simplify right side
    12,314.52x = 173,195,305.60
  5. Step 5: Solve for x
    x = 173,195,305.60/12,314.52
  6. Step 6: Final answer
    x = 14,064.32

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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.