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Finding the Fourth Proportional to 19,635.78, 29,431.14 and 9,752.96

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Solution

The fourth proportional to 19,635.78, 29,431.14 and 9,752.96 is: 14,618.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,635.78 : 29,431.14 = 9,752.96 : x
  2. Step 2: Convert to fraction form
    19,635.78/29,431.14 = 9,752.96/x
  3. Step 3: Cross multiply
    19,635.78x = 29,431.14 × 9,752.96
  4. Step 4: Simplify right side
    19,635.78x = 287,040,731.17
  5. Step 5: Solve for x
    x = 287,040,731.17/19,635.78
  6. Step 6: Final answer
    x = 14,618.25

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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.