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Finding the Fourth Proportional to 12,938.65, 19,403.20 and 4,616.44

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Solution

The fourth proportional to 12,938.65, 19,403.20 and 4,616.44 is: 6,922.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,938.65 : 19,403.20 = 4,616.44 : x
  2. Step 2: Convert to fraction form
    12,938.65/19,403.20 = 4,616.44/x
  3. Step 3: Cross multiply
    12,938.65x = 19,403.20 × 4,616.44
  4. Step 4: Simplify right side
    12,938.65x = 89,573,665.87
  5. Step 5: Solve for x
    x = 89,573,665.87/12,938.65
  6. Step 6: Final answer
    x = 6,922.95

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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.