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Finding the Fourth Proportional to 12,297.68, 18,446.28 and 7,368.68

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Solution

The fourth proportional to 12,297.68, 18,446.28 and 7,368.68 is: 11,052.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,297.68 : 18,446.28 = 7,368.68 : x
  2. Step 2: Convert to fraction form
    12,297.68/18,446.28 = 7,368.68/x
  3. Step 3: Cross multiply
    12,297.68x = 18,446.28 × 7,368.68
  4. Step 4: Simplify right side
    12,297.68x = 135,924,734.51
  5. Step 5: Solve for x
    x = 135,924,734.51/12,297.68
  6. Step 6: Final answer
    x = 11,052.88

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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.