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Finding the Fourth Proportional to 24,731.45, 37,098.45 and 7,202.64

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Solution

The fourth proportional to 24,731.45, 37,098.45 and 7,202.64 is: 10,804.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,731.45 : 37,098.45 = 7,202.64 : x
  2. Step 2: Convert to fraction form
    24,731.45/37,098.45 = 7,202.64/x
  3. Step 3: Cross multiply
    24,731.45x = 37,098.45 × 7,202.64
  4. Step 4: Simplify right side
    24,731.45x = 267,206,779.91
  5. Step 5: Solve for x
    x = 267,206,779.91/24,731.45
  6. Step 6: Final answer
    x = 10,804.33

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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.