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Finding the Fourth Proportional to 14,098.14, 19,454.13 and 8,431.83

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Solution

The fourth proportional to 14,098.14, 19,454.13 and 8,431.83 is: 11,635.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,098.14 : 19,454.13 = 8,431.83 : x
  2. Step 2: Convert to fraction form
    14,098.14/19,454.13 = 8,431.83/x
  3. Step 3: Cross multiply
    14,098.14x = 19,454.13 × 8,431.83
  4. Step 4: Simplify right side
    14,098.14x = 164,033,916.96
  5. Step 5: Solve for x
    x = 164,033,916.96/14,098.14
  6. Step 6: Final answer
    x = 11,635.15

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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.