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Finding the Fourth Proportional to 17,779.20, 24,535.48 and 9,821.28

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Solution

The fourth proportional to 17,779.20, 24,535.48 and 9,821.28 is: 13,553.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,779.20 : 24,535.48 = 9,821.28 : x
  2. Step 2: Convert to fraction form
    17,779.20/24,535.48 = 9,821.28/x
  3. Step 3: Cross multiply
    17,779.20x = 24,535.48 × 9,821.28
  4. Step 4: Simplify right side
    17,779.20x = 240,969,819.01
  5. Step 5: Solve for x
    x = 240,969,819.01/17,779.20
  6. Step 6: Final answer
    x = 13,553.47

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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.