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Finding the Fourth Proportional to 14,226.99, 19,633.23 and 8,258.91

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Solution

The fourth proportional to 14,226.99, 19,633.23 and 8,258.91 is: 11,397.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,226.99 : 19,633.23 = 8,258.91 : x
  2. Step 2: Convert to fraction form
    14,226.99/19,633.23 = 8,258.91/x
  3. Step 3: Cross multiply
    14,226.99x = 19,633.23 × 8,258.91
  4. Step 4: Simplify right side
    14,226.99x = 162,149,079.58
  5. Step 5: Solve for x
    x = 162,149,079.58/14,226.99
  6. Step 6: Final answer
    x = 11,397.29

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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.