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Finding the Fourth Proportional to 14,288.75, 19,716.84 and 8,319.15

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Solution

The fourth proportional to 14,288.75, 19,716.84 and 8,319.15 is: 11,479.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,288.75 : 19,716.84 = 8,319.15 : x
  2. Step 2: Convert to fraction form
    14,288.75/19,716.84 = 8,319.15/x
  3. Step 3: Cross multiply
    14,288.75x = 19,716.84 × 8,319.15
  4. Step 4: Simplify right side
    14,288.75x = 164,027,349.49
  5. Step 5: Solve for x
    x = 164,027,349.49/14,288.75
  6. Step 6: Final answer
    x = 11,479.48

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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.