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Finding the Fourth Proportional to 14,283.68, 19,712.57 and 8,234.90

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Solution

The fourth proportional to 14,283.68, 19,712.57 and 8,234.90 is: 11,364.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,283.68 : 19,712.57 = 8,234.90 : x
  2. Step 2: Convert to fraction form
    14,283.68/19,712.57 = 8,234.90/x
  3. Step 3: Cross multiply
    14,283.68x = 19,712.57 × 8,234.90
  4. Step 4: Simplify right side
    14,283.68x = 162,330,976.88
  5. Step 5: Solve for x
    x = 162,330,976.88/14,283.68
  6. Step 6: Final answer
    x = 11,364.79

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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.