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Finding the Fourth Proportional to 12,288.42, 18,426.12 and 5,359.14

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Solution

The fourth proportional to 12,288.42, 18,426.12 and 5,359.14 is: 8,035.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,288.42 : 18,426.12 = 5,359.14 : x
  2. Step 2: Convert to fraction form
    12,288.42/18,426.12 = 5,359.14/x
  3. Step 3: Cross multiply
    12,288.42x = 18,426.12 × 5,359.14
  4. Step 4: Simplify right side
    12,288.42x = 98,748,156.74
  5. Step 5: Solve for x
    x = 98,748,156.74/12,288.42
  6. Step 6: Final answer
    x = 8,035.87

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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.