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Finding the Fourth Proportional to 19,498.38, 29,264.31 and 7,819.62

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Solution

The fourth proportional to 19,498.38, 29,264.31 and 7,819.62 is: 11,736.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,498.38 : 29,264.31 = 7,819.62 : x
  2. Step 2: Convert to fraction form
    19,498.38/29,264.31 = 7,819.62/x
  3. Step 3: Cross multiply
    19,498.38x = 29,264.31 × 7,819.62
  4. Step 4: Simplify right side
    19,498.38x = 228,835,783.76
  5. Step 5: Solve for x
    x = 228,835,783.76/19,498.38
  6. Step 6: Final answer
    x = 11,736.14

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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.