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Finding the Fourth Proportional to 19,966.70, 29,948.96 and 6,819.06

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Solution

The fourth proportional to 19,966.70, 29,948.96 and 6,819.06 is: 10,228.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,966.70 : 29,948.96 = 6,819.06 : x
  2. Step 2: Convert to fraction form
    19,966.70/29,948.96 = 6,819.06/x
  3. Step 3: Cross multiply
    19,966.70x = 29,948.96 × 6,819.06
  4. Step 4: Simplify right side
    19,966.70x = 204,223,755.18
  5. Step 5: Solve for x
    x = 204,223,755.18/19,966.70
  6. Step 6: Final answer
    x = 10,228.22

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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.