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Finding the Fourth Proportional to 25,100.71, 37,651.02 and 7,570.53

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Solution

The fourth proportional to 25,100.71, 37,651.02 and 7,570.53 is: 11,355.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,100.71 : 37,651.02 = 7,570.53 : x
  2. Step 2: Convert to fraction form
    25,100.71/37,651.02 = 7,570.53/x
  3. Step 3: Cross multiply
    25,100.71x = 37,651.02 × 7,570.53
  4. Step 4: Simplify right side
    25,100.71x = 285,038,176.44
  5. Step 5: Solve for x
    x = 285,038,176.44/25,100.71
  6. Step 6: Final answer
    x = 11,355.78

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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.