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Finding the Fourth Proportional to 17,778.54, 24,534.29 and 9,820.73

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Solution

The fourth proportional to 17,778.54, 24,534.29 and 9,820.73 is: 13,552.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,778.54 : 24,534.29 = 9,820.73 : x
  2. Step 2: Convert to fraction form
    17,778.54/24,534.29 = 9,820.73/x
  3. Step 3: Cross multiply
    17,778.54x = 24,534.29 × 9,820.73
  4. Step 4: Simplify right side
    17,778.54x = 240,944,637.83
  5. Step 5: Solve for x
    x = 240,944,637.83/17,778.54
  6. Step 6: Final answer
    x = 13,552.55

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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.