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Finding the Fourth Proportional to 14,293.86, 19,725.18 and 8,325.96

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Solution

The fourth proportional to 14,293.86, 19,725.18 and 8,325.96 is: 11,489.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,293.86 : 19,725.18 = 8,325.96 : x
  2. Step 2: Convert to fraction form
    14,293.86/19,725.18 = 8,325.96/x
  3. Step 3: Cross multiply
    14,293.86x = 19,725.18 × 8,325.96
  4. Step 4: Simplify right side
    14,293.86x = 164,231,059.67
  5. Step 5: Solve for x
    x = 164,231,059.67/14,293.86
  6. Step 6: Final answer
    x = 11,489.62

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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.