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Finding the Fourth Proportional to 12,869.64, 19,266.90 and 7,924.44

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Solution

The fourth proportional to 12,869.64, 19,266.90 and 7,924.44 is: 11,863.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,869.64 : 19,266.90 = 7,924.44 : x
  2. Step 2: Convert to fraction form
    12,869.64/19,266.90 = 7,924.44/x
  3. Step 3: Cross multiply
    12,869.64x = 19,266.90 × 7,924.44
  4. Step 4: Simplify right side
    12,869.64x = 152,679,393.04
  5. Step 5: Solve for x
    x = 152,679,393.04/12,869.64
  6. Step 6: Final answer
    x = 11,863.53

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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.