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Finding the Fourth Proportional to 23,837.69, 35,742.63 and 7,192.73

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Solution

The fourth proportional to 23,837.69, 35,742.63 and 7,192.73 is: 10,784.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,837.69 : 35,742.63 = 7,192.73 : x
  2. Step 2: Convert to fraction form
    23,837.69/35,742.63 = 7,192.73/x
  3. Step 3: Cross multiply
    23,837.69x = 35,742.63 × 7,192.73
  4. Step 4: Simplify right side
    23,837.69x = 257,087,203.41
  5. Step 5: Solve for x
    x = 257,087,203.41/23,837.69
  6. Step 6: Final answer
    x = 10,784.90

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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.