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Finding the Fourth Proportional to 12,297.60, 18,443.94 and 3,530.46

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Solution

The fourth proportional to 12,297.60, 18,443.94 and 3,530.46 is: 5,294.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,297.60 : 18,443.94 = 3,530.46 : x
  2. Step 2: Convert to fraction form
    12,297.60/18,443.94 = 3,530.46/x
  3. Step 3: Cross multiply
    12,297.60x = 18,443.94 × 3,530.46
  4. Step 4: Simplify right side
    12,297.60x = 65,115,592.41
  5. Step 5: Solve for x
    x = 65,115,592.41/12,297.60
  6. Step 6: Final answer
    x = 5,294.98

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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.