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Finding the Fourth Proportional to 14,258.31, 19,673.22 and 8,209.23

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Solution

The fourth proportional to 14,258.31, 19,673.22 and 8,209.23 is: 11,326.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,258.31 : 19,673.22 = 8,209.23 : x
  2. Step 2: Convert to fraction form
    14,258.31/19,673.22 = 8,209.23/x
  3. Step 3: Cross multiply
    14,258.31x = 19,673.22 × 8,209.23
  4. Step 4: Simplify right side
    14,258.31x = 161,501,987.82
  5. Step 5: Solve for x
    x = 161,501,987.82/14,258.31
  6. Step 6: Final answer
    x = 11,326.87

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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.