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Finding the Fourth Proportional to 29,705.57, 40,989.78 and 17,764.55

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Solution

The fourth proportional to 29,705.57, 40,989.78 and 17,764.55 is: 24,512.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,705.57 : 40,989.78 = 17,764.55 : x
  2. Step 2: Convert to fraction form
    29,705.57/40,989.78 = 17,764.55/x
  3. Step 3: Cross multiply
    29,705.57x = 40,989.78 × 17,764.55
  4. Step 4: Simplify right side
    29,705.57x = 728,164,945.06
  5. Step 5: Solve for x
    x = 728,164,945.06/29,705.57
  6. Step 6: Final answer
    x = 24,512.74

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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.