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Finding the Fourth Proportional to 24,710.41, 34,097.82 and 14,098

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Solution

The fourth proportional to 24,710.41, 34,097.82 and 14,098 is: 19,453.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,710.41 : 34,097.82 = 14,098 : x
  2. Step 2: Convert to fraction form
    24,710.41/34,097.82 = 14,098/x
  3. Step 3: Cross multiply
    24,710.41x = 34,097.82 × 14,098
  4. Step 4: Simplify right side
    24,710.41x = 480,711,066.36
  5. Step 5: Solve for x
    x = 480,711,066.36/24,710.41
  6. Step 6: Final answer
    x = 19,453.79

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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.