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Finding the Fourth Proportional to 13,278.87, 19,930.59 and 6,709.66

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Solution

The fourth proportional to 13,278.87, 19,930.59 and 6,709.66 is: 10,070.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,278.87 : 19,930.59 = 6,709.66 : x
  2. Step 2: Convert to fraction form
    13,278.87/19,930.59 = 6,709.66/x
  3. Step 3: Cross multiply
    13,278.87x = 19,930.59 × 6,709.66
  4. Step 4: Simplify right side
    13,278.87x = 133,727,432.67
  5. Step 5: Solve for x
    x = 133,727,432.67/13,278.87
  6. Step 6: Final answer
    x = 10,070.69

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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.