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Finding the Fourth Proportional to 14,214.88, 21,315.12 and 8,293.69

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Solution

The fourth proportional to 14,214.88, 21,315.12 and 8,293.69 is: 12,436.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,214.88 : 21,315.12 = 8,293.69 : x
  2. Step 2: Convert to fraction form
    14,214.88/21,315.12 = 8,293.69/x
  3. Step 3: Cross multiply
    14,214.88x = 21,315.12 × 8,293.69
  4. Step 4: Simplify right side
    14,214.88x = 176,780,997.59
  5. Step 5: Solve for x
    x = 176,780,997.59/14,214.88
  6. Step 6: Final answer
    x = 12,436.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.