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Finding the Fourth Proportional to 12,428, 18,626.80 and 5,845.44

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Solution

The fourth proportional to 12,428, 18,626.80 and 5,845.44 is: 8,761.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,428 : 18,626.80 = 5,845.44 : x
  2. Step 2: Convert to fraction form
    12,428/18,626.80 = 5,845.44/x
  3. Step 3: Cross multiply
    12,428x = 18,626.80 × 5,845.44
  4. Step 4: Simplify right side
    12,428x = 108,881,841.79
  5. Step 5: Solve for x
    x = 108,881,841.79/12,428
  6. Step 6: Final answer
    x = 8,761.01

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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.