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Finding the Fourth Proportional to 23,832.40, 35,748.85 and 7,192.58

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Solution

The fourth proportional to 23,832.40, 35,748.85 and 7,192.58 is: 10,788.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,832.40 : 35,748.85 = 7,192.58 : x
  2. Step 2: Convert to fraction form
    23,832.40/35,748.85 = 7,192.58/x
  3. Step 3: Cross multiply
    23,832.40x = 35,748.85 × 7,192.58
  4. Step 4: Simplify right side
    23,832.40x = 257,126,248.83
  5. Step 5: Solve for x
    x = 257,126,248.83/23,832.40
  6. Step 6: Final answer
    x = 10,788.94

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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.