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Finding the Fourth Proportional to 17,779.77, 24,534.72 and 9,821.97

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Solution

The fourth proportional to 17,779.77, 24,534.72 and 9,821.97 is: 13,553.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,779.77 : 24,534.72 = 9,821.97 : x
  2. Step 2: Convert to fraction form
    17,779.77/24,534.72 = 9,821.97/x
  3. Step 3: Cross multiply
    17,779.77x = 24,534.72 × 9,821.97
  4. Step 4: Simplify right side
    17,779.77x = 240,979,283.80
  5. Step 5: Solve for x
    x = 240,979,283.80/17,779.77
  6. Step 6: Final answer
    x = 13,553.57

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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.