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Finding the Fourth Proportional to 14,214.53, 21,314.67 and 8,293.44

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Solution

The fourth proportional to 14,214.53, 21,314.67 and 8,293.44 is: 12,436.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,214.53 : 21,314.67 = 8,293.44 : x
  2. Step 2: Convert to fraction form
    14,214.53/21,314.67 = 8,293.44/x
  3. Step 3: Cross multiply
    14,214.53x = 21,314.67 × 8,293.44
  4. Step 4: Simplify right side
    14,214.53x = 176,771,936.76
  5. Step 5: Solve for x
    x = 176,771,936.76/14,214.53
  6. Step 6: Final answer
    x = 12,436.01

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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.