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Finding the Fourth Proportional to 19,635.83, 29,443.91 and 9,780.56

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Solution

The fourth proportional to 19,635.83, 29,443.91 and 9,780.56 is: 14,665.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,635.83 : 29,443.91 = 9,780.56 : x
  2. Step 2: Convert to fraction form
    19,635.83/29,443.91 = 9,780.56/x
  3. Step 3: Cross multiply
    19,635.83x = 29,443.91 × 9,780.56
  4. Step 4: Simplify right side
    19,635.83x = 287,977,781.17
  5. Step 5: Solve for x
    x = 287,977,781.17/19,635.83
  6. Step 6: Final answer
    x = 14,665.94

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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.