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Finding the Fourth Proportional to 13,278.30, 19,922.06 and 5,887.95

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Solution

The fourth proportional to 13,278.30, 19,922.06 and 5,887.95 is: 8,833.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,278.30 : 19,922.06 = 5,887.95 : x
  2. Step 2: Convert to fraction form
    13,278.30/19,922.06 = 5,887.95/x
  3. Step 3: Cross multiply
    13,278.30x = 19,922.06 × 5,887.95
  4. Step 4: Simplify right side
    13,278.30x = 117,300,063.74
  5. Step 5: Solve for x
    x = 117,300,063.74/13,278.30
  6. Step 6: Final answer
    x = 8,833.97

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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.