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Finding the Fourth Proportional to 14,517.68, 21,784.68 and 6,196.90

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Solution

The fourth proportional to 14,517.68, 21,784.68 and 6,196.90 is: 9,298.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,517.68 : 21,784.68 = 6,196.90 : x
  2. Step 2: Convert to fraction form
    14,517.68/21,784.68 = 6,196.90/x
  3. Step 3: Cross multiply
    14,517.68x = 21,784.68 × 6,196.90
  4. Step 4: Simplify right side
    14,517.68x = 134,997,483.49
  5. Step 5: Solve for x
    x = 134,997,483.49/14,517.68
  6. Step 6: Final answer
    x = 9,298.83

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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.