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Finding the Fourth Proportional to 29,685.72, 40,964.40 and 17,749.26

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Solution

The fourth proportional to 29,685.72, 40,964.40 and 17,749.26 is: 24,492.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,685.72 : 40,964.40 = 17,749.26 : x
  2. Step 2: Convert to fraction form
    29,685.72/40,964.40 = 17,749.26/x
  3. Step 3: Cross multiply
    29,685.72x = 40,964.40 × 17,749.26
  4. Step 4: Simplify right side
    29,685.72x = 727,087,786.34
  5. Step 5: Solve for x
    x = 727,087,786.34/29,685.72
  6. Step 6: Final answer
    x = 24,492.85

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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.