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Finding the Fourth Proportional to 12,686.67, 19,031.22 and 4,896.09

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Solution

The fourth proportional to 12,686.67, 19,031.22 and 4,896.09 is: 7,344.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686.67 : 19,031.22 = 4,896.09 : x
  2. Step 2: Convert to fraction form
    12,686.67/19,031.22 = 4,896.09/x
  3. Step 3: Cross multiply
    12,686.67x = 19,031.22 × 4,896.09
  4. Step 4: Simplify right side
    12,686.67x = 93,178,565.93
  5. Step 5: Solve for x
    x = 93,178,565.93/12,686.67
  6. Step 6: Final answer
    x = 7,344.60

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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.