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Finding the Fourth Proportional to 24,733.36, 37,106.13 and 7,203.34

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Solution

The fourth proportional to 24,733.36, 37,106.13 and 7,203.34 is: 10,806.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,733.36 : 37,106.13 = 7,203.34 : x
  2. Step 2: Convert to fraction form
    24,733.36/37,106.13 = 7,203.34/x
  3. Step 3: Cross multiply
    24,733.36x = 37,106.13 × 7,203.34
  4. Step 4: Simplify right side
    24,733.36x = 267,287,884.94
  5. Step 5: Solve for x
    x = 267,287,884.94/24,733.36
  6. Step 6: Final answer
    x = 10,806.78

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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.