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Finding the Fourth Proportional to 12,140.64, 18,214.20 and 4,350.24

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Solution

The fourth proportional to 12,140.64, 18,214.20 and 4,350.24 is: 6,526.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,140.64 : 18,214.20 = 4,350.24 : x
  2. Step 2: Convert to fraction form
    12,140.64/18,214.20 = 4,350.24/x
  3. Step 3: Cross multiply
    12,140.64x = 18,214.20 × 4,350.24
  4. Step 4: Simplify right side
    12,140.64x = 79,236,141.41
  5. Step 5: Solve for x
    x = 79,236,141.41/12,140.64
  6. Step 6: Final answer
    x = 6,526.52

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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.