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Finding the Fourth Proportional to 14,338.13, 19,778.04 and 9,023.72

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Solution

The fourth proportional to 14,338.13, 19,778.04 and 9,023.72 is: 12,447.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,338.13 : 19,778.04 = 9,023.72 : x
  2. Step 2: Convert to fraction form
    14,338.13/19,778.04 = 9,023.72/x
  3. Step 3: Cross multiply
    14,338.13x = 19,778.04 × 9,023.72
  4. Step 4: Simplify right side
    14,338.13x = 178,471,396.22
  5. Step 5: Solve for x
    x = 178,471,396.22/14,338.13
  6. Step 6: Final answer
    x = 12,447.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.