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Finding the Fourth Proportional to 25,349.76, 38,023.58 and 6,629.50

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Solution

The fourth proportional to 25,349.76, 38,023.58 and 6,629.50 is: 9,943.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,349.76 : 38,023.58 = 6,629.50 : x
  2. Step 2: Convert to fraction form
    25,349.76/38,023.58 = 6,629.50/x
  3. Step 3: Cross multiply
    25,349.76x = 38,023.58 × 6,629.50
  4. Step 4: Simplify right side
    25,349.76x = 252,077,136.54
  5. Step 5: Solve for x
    x = 252,077,136.54/25,349.76
  6. Step 6: Final answer
    x = 9,943.97

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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.