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Finding the Fourth Proportional to 17,777.96, 24,535.02 and 9,820.88

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Solution

The fourth proportional to 17,777.96, 24,535.02 and 9,820.88 is: 13,553.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,777.96 : 24,535.02 = 9,820.88 : x
  2. Step 2: Convert to fraction form
    17,777.96/24,535.02 = 9,820.88/x
  3. Step 3: Cross multiply
    17,777.96x = 24,535.02 × 9,820.88
  4. Step 4: Simplify right side
    17,777.96x = 240,955,487.22
  5. Step 5: Solve for x
    x = 240,955,487.22/17,777.96
  6. Step 6: Final answer
    x = 13,553.61

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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.