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Finding the Fourth Proportional to 24,735.81, 37,104.75 and 7,205.64

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Solution

The fourth proportional to 24,735.81, 37,104.75 and 7,205.64 is: 10,808.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,735.81 : 37,104.75 = 7,205.64 : x
  2. Step 2: Convert to fraction form
    24,735.81/37,104.75 = 7,205.64/x
  3. Step 3: Cross multiply
    24,735.81x = 37,104.75 × 7,205.64
  4. Step 4: Simplify right side
    24,735.81x = 267,363,331.65
  5. Step 5: Solve for x
    x = 267,363,331.65/24,735.81
  6. Step 6: Final answer
    x = 10,808.75

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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.