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Finding the Fourth Proportional to 17,778.96, 24,534.36 and 9,821.52

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Solution

The fourth proportional to 17,778.96, 24,534.36 and 9,821.52 is: 13,553.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,778.96 : 24,534.36 = 9,821.52 : x
  2. Step 2: Convert to fraction form
    17,778.96/24,534.36 = 9,821.52/x
  3. Step 3: Cross multiply
    17,778.96x = 24,534.36 × 9,821.52
  4. Step 4: Simplify right side
    17,778.96x = 240,964,707.43
  5. Step 5: Solve for x
    x = 240,964,707.43/17,778.96
  6. Step 6: Final answer
    x = 13,553.36

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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.