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Finding the Fourth Proportional to 12,428.09, 18,642.29 and 4,429.22

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Solution

The fourth proportional to 12,428.09, 18,642.29 and 4,429.22 is: 6,643.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,428.09 : 18,642.29 = 4,429.22 : x
  2. Step 2: Convert to fraction form
    12,428.09/18,642.29 = 4,429.22/x
  3. Step 3: Cross multiply
    12,428.09x = 18,642.29 × 4,429.22
  4. Step 4: Simplify right side
    12,428.09x = 82,570,688.36
  5. Step 5: Solve for x
    x = 82,570,688.36/12,428.09
  6. Step 6: Final answer
    x = 6,643.88

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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.