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Finding the Fourth Proportional to 13,219.88, 19,819.31 and 6,551.69

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Solution

The fourth proportional to 13,219.88, 19,819.31 and 6,551.69 is: 9,822.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,219.88 : 19,819.31 = 6,551.69 : x
  2. Step 2: Convert to fraction form
    13,219.88/19,819.31 = 6,551.69/x
  3. Step 3: Cross multiply
    13,219.88x = 19,819.31 × 6,551.69
  4. Step 4: Simplify right side
    13,219.88x = 129,849,843.28
  5. Step 5: Solve for x
    x = 129,849,843.28/13,219.88
  6. Step 6: Final answer
    x = 9,822.32

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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.