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Finding the Fourth Proportional to 19,849.58, 29,775 and 9,983.47

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Solution

The fourth proportional to 19,849.58, 29,775 and 9,983.47 is: 14,975.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,849.58 : 29,775 = 9,983.47 : x
  2. Step 2: Convert to fraction form
    19,849.58/29,775 = 9,983.47/x
  3. Step 3: Cross multiply
    19,849.58x = 29,775 × 9,983.47
  4. Step 4: Simplify right side
    19,849.58x = 297,257,819.25
  5. Step 5: Solve for x
    x = 297,257,819.25/19,849.58
  6. Step 6: Final answer
    x = 14,975.52

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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.