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Finding the Fourth Proportional to 12,846.68, 19,254.24 and 7,304.66

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Solution

The fourth proportional to 12,846.68, 19,254.24 and 7,304.66 is: 10,948.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.68 : 19,254.24 = 7,304.66 : x
  2. Step 2: Convert to fraction form
    12,846.68/19,254.24 = 7,304.66/x
  3. Step 3: Cross multiply
    12,846.68x = 19,254.24 × 7,304.66
  4. Step 4: Simplify right side
    12,846.68x = 140,645,676.76
  5. Step 5: Solve for x
    x = 140,645,676.76/12,846.68
  6. Step 6: Final answer
    x = 10,948.02

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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.