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Finding the Fourth Proportional to 12,891.30, 19,340.55 and 6,317.70

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Solution

The fourth proportional to 12,891.30, 19,340.55 and 6,317.70 is: 9,478.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,891.30 : 19,340.55 = 6,317.70 : x
  2. Step 2: Convert to fraction form
    12,891.30/19,340.55 = 6,317.70/x
  3. Step 3: Cross multiply
    12,891.30x = 19,340.55 × 6,317.70
  4. Step 4: Simplify right side
    12,891.30x = 122,187,792.74
  5. Step 5: Solve for x
    x = 122,187,792.74/12,891.30
  6. Step 6: Final answer
    x = 9,478.31

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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.