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Finding the Fourth Proportional to 17,736.98, 24,478.16 and 9,779.21

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Solution

The fourth proportional to 17,736.98, 24,478.16 and 9,779.21 is: 13,495.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,736.98 : 24,478.16 = 9,779.21 : x
  2. Step 2: Convert to fraction form
    17,736.98/24,478.16 = 9,779.21/x
  3. Step 3: Cross multiply
    17,736.98x = 24,478.16 × 9,779.21
  4. Step 4: Simplify right side
    17,736.98x = 239,377,067.05
  5. Step 5: Solve for x
    x = 239,377,067.05/17,736.98
  6. Step 6: Final answer
    x = 13,495.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.