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Finding the Fourth Proportional to 17,645.15, 26,474.58 and 7,777.46

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Solution

The fourth proportional to 17,645.15, 26,474.58 and 7,777.46 is: 11,669.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,645.15 : 26,474.58 = 7,777.46 : x
  2. Step 2: Convert to fraction form
    17,645.15/26,474.58 = 7,777.46/x
  3. Step 3: Cross multiply
    17,645.15x = 26,474.58 × 7,777.46
  4. Step 4: Simplify right side
    17,645.15x = 205,904,854.59
  5. Step 5: Solve for x
    x = 205,904,854.59/17,645.15
  6. Step 6: Final answer
    x = 11,669.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.