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Finding the Fourth Proportional to 14,383.68, 19,854.89 and 8,417.27

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Solution

The fourth proportional to 14,383.68, 19,854.89 and 8,417.27 is: 11,618.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,383.68 : 19,854.89 = 8,417.27 : x
  2. Step 2: Convert to fraction form
    14,383.68/19,854.89 = 8,417.27/x
  3. Step 3: Cross multiply
    14,383.68x = 19,854.89 × 8,417.27
  4. Step 4: Simplify right side
    14,383.68x = 167,123,891.72
  5. Step 5: Solve for x
    x = 167,123,891.72/14,383.68
  6. Step 6: Final answer
    x = 11,618.99

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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.