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Finding the Fourth Proportional to 14,098.40, 19,481.46 and 13,415.17

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Solution

The fourth proportional to 14,098.40, 19,481.46 and 13,415.17 is: 18,537.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,098.40 : 19,481.46 = 13,415.17 : x
  2. Step 2: Convert to fraction form
    14,098.40/19,481.46 = 13,415.17/x
  3. Step 3: Cross multiply
    14,098.40x = 19,481.46 × 13,415.17
  4. Step 4: Simplify right side
    14,098.40x = 261,346,998.74
  5. Step 5: Solve for x
    x = 261,346,998.74/14,098.40
  6. Step 6: Final answer
    x = 18,537.35

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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.