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Finding the Fourth Proportional to 14,227.98, 19,629.18 and 8,258.64

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Solution

The fourth proportional to 14,227.98, 19,629.18 and 8,258.64 is: 11,393.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,227.98 : 19,629.18 = 8,258.64 : x
  2. Step 2: Convert to fraction form
    14,227.98/19,629.18 = 8,258.64/x
  3. Step 3: Cross multiply
    14,227.98x = 19,629.18 × 8,258.64
  4. Step 4: Simplify right side
    14,227.98x = 162,110,331.12
  5. Step 5: Solve for x
    x = 162,110,331.12/14,227.98
  6. Step 6: Final answer
    x = 11,393.77

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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.