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Finding the Fourth Proportional to 24,749.12, 37,120.08 and 7,214.24

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Solution

The fourth proportional to 24,749.12, 37,120.08 and 7,214.24 is: 10,820.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,749.12 : 37,120.08 = 7,214.24 : x
  2. Step 2: Convert to fraction form
    24,749.12/37,120.08 = 7,214.24/x
  3. Step 3: Cross multiply
    24,749.12x = 37,120.08 × 7,214.24
  4. Step 4: Simplify right side
    24,749.12x = 267,793,165.94
  5. Step 5: Solve for x
    x = 267,793,165.94/24,749.12
  6. Step 6: Final answer
    x = 10,820.31

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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.