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Finding the Fourth Proportional to 12,730.91, 19,089 and 4,930.61

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Solution

The fourth proportional to 12,730.91, 19,089 and 4,930.61 is: 7,393.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,730.91 : 19,089 = 4,930.61 : x
  2. Step 2: Convert to fraction form
    12,730.91/19,089 = 4,930.61/x
  3. Step 3: Cross multiply
    12,730.91x = 19,089 × 4,930.61
  4. Step 4: Simplify right side
    12,730.91x = 94,120,318.85
  5. Step 5: Solve for x
    x = 94,120,318.85/12,730.91
  6. Step 6: Final answer
    x = 7,393.06

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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.