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Finding the Fourth Proportional to 29,661.42, 40,933.35 and 17,724.78

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Solution

The fourth proportional to 29,661.42, 40,933.35 and 17,724.78 is: 24,460.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,661.42 : 40,933.35 = 17,724.78 : x
  2. Step 2: Convert to fraction form
    29,661.42/40,933.35 = 17,724.78/x
  3. Step 3: Cross multiply
    29,661.42x = 40,933.35 × 17,724.78
  4. Step 4: Simplify right side
    29,661.42x = 725,534,623.41
  5. Step 5: Solve for x
    x = 725,534,623.41/29,661.42
  6. Step 6: Final answer
    x = 24,460.55

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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.