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Finding the Fourth Proportional to 12,412.39, 18,572.10 and 7,396.41

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Solution

The fourth proportional to 12,412.39, 18,572.10 and 7,396.41 is: 11,066.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,412.39 : 18,572.10 = 7,396.41 : x
  2. Step 2: Convert to fraction form
    12,412.39/18,572.10 = 7,396.41/x
  3. Step 3: Cross multiply
    12,412.39x = 18,572.10 × 7,396.41
  4. Step 4: Simplify right side
    12,412.39x = 137,366,949.67
  5. Step 5: Solve for x
    x = 137,366,949.67/12,412.39
  6. Step 6: Final answer
    x = 11,066.92

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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.