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Finding the Fourth Proportional to 12,214.53, 16,856.29 and 6,909.30

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Solution

The fourth proportional to 12,214.53, 16,856.29 and 6,909.30 is: 9,534.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,214.53 : 16,856.29 = 6,909.30 : x
  2. Step 2: Convert to fraction form
    12,214.53/16,856.29 = 6,909.30/x
  3. Step 3: Cross multiply
    12,214.53x = 16,856.29 × 6,909.30
  4. Step 4: Simplify right side
    12,214.53x = 116,465,164.50
  5. Step 5: Solve for x
    x = 116,465,164.50/12,214.53
  6. Step 6: Final answer
    x = 9,534.97

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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.