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Finding the Fourth Proportional to 25,169.02, 37,753.65 and 7,639

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Solution

The fourth proportional to 25,169.02, 37,753.65 and 7,639 is: 11,458.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,169.02 : 37,753.65 = 7,639 : x
  2. Step 2: Convert to fraction form
    25,169.02/37,753.65 = 7,639/x
  3. Step 3: Cross multiply
    25,169.02x = 37,753.65 × 7,639
  4. Step 4: Simplify right side
    25,169.02x = 288,400,132.35
  5. Step 5: Solve for x
    x = 288,400,132.35/25,169.02
  6. Step 6: Final answer
    x = 11,458.54

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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.