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Finding the Fourth Proportional to 12,428.64, 18,643.87 and 3,663.93

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Solution

The fourth proportional to 12,428.64, 18,643.87 and 3,663.93 is: 5,496.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,428.64 : 18,643.87 = 3,663.93 : x
  2. Step 2: Convert to fraction form
    12,428.64/18,643.87 = 3,663.93/x
  3. Step 3: Cross multiply
    12,428.64x = 18,643.87 × 3,663.93
  4. Step 4: Simplify right side
    12,428.64x = 68,309,909.10
  5. Step 5: Solve for x
    x = 68,309,909.10/12,428.64
  6. Step 6: Final answer
    x = 5,496.17

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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.