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Finding the Fourth Proportional to 14,345.57, 19,796.74 and 8,378.17

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Solution

The fourth proportional to 14,345.57, 19,796.74 and 8,378.17 is: 11,561.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,345.57 : 19,796.74 = 8,378.17 : x
  2. Step 2: Convert to fraction form
    14,345.57/19,796.74 = 8,378.17/x
  3. Step 3: Cross multiply
    14,345.57x = 19,796.74 × 8,378.17
  4. Step 4: Simplify right side
    14,345.57x = 165,860,382.73
  5. Step 5: Solve for x
    x = 165,860,382.73/14,345.57
  6. Step 6: Final answer
    x = 11,561.78

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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.