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Finding the Fourth Proportional to 14,410.72, 19,886.82 and 8,123.08

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Solution

The fourth proportional to 14,410.72, 19,886.82 and 8,123.08 is: 11,209.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,410.72 : 19,886.82 = 8,123.08 : x
  2. Step 2: Convert to fraction form
    14,410.72/19,886.82 = 8,123.08/x
  3. Step 3: Cross multiply
    14,410.72x = 19,886.82 × 8,123.08
  4. Step 4: Simplify right side
    14,410.72x = 161,542,229.81
  5. Step 5: Solve for x
    x = 161,542,229.81/14,410.72
  6. Step 6: Final answer
    x = 11,209.87

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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.