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Finding the Fourth Proportional to 14,226.87, 19,633.13 and 8,258.79

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Solution

The fourth proportional to 14,226.87, 19,633.13 and 8,258.79 is: 11,397.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,226.87 : 19,633.13 = 8,258.79 : x
  2. Step 2: Convert to fraction form
    14,226.87/19,633.13 = 8,258.79/x
  3. Step 3: Cross multiply
    14,226.87x = 19,633.13 × 8,258.79
  4. Step 4: Simplify right side
    14,226.87x = 162,146,007.47
  5. Step 5: Solve for x
    x = 162,146,007.47/14,226.87
  6. Step 6: Final answer
    x = 11,397.16

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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.