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Finding the Fourth Proportional to 14,283.68, 19,713.90 and 8,318.86

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Solution

The fourth proportional to 14,283.68, 19,713.90 and 8,318.86 is: 11,481.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,283.68 : 19,713.90 = 8,318.86 : x
  2. Step 2: Convert to fraction form
    14,283.68/19,713.90 = 8,318.86/x
  3. Step 3: Cross multiply
    14,283.68x = 19,713.90 × 8,318.86
  4. Step 4: Simplify right side
    14,283.68x = 163,997,174.15
  5. Step 5: Solve for x
    x = 163,997,174.15/14,283.68
  6. Step 6: Final answer
    x = 11,481.44

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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.