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Finding the Fourth Proportional to 25,190.25, 37,784.01 and 7,658.71

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Solution

The fourth proportional to 25,190.25, 37,784.01 and 7,658.71 is: 11,487.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,190.25 : 37,784.01 = 7,658.71 : x
  2. Step 2: Convert to fraction form
    25,190.25/37,784.01 = 7,658.71/x
  3. Step 3: Cross multiply
    25,190.25x = 37,784.01 × 7,658.71
  4. Step 4: Simplify right side
    25,190.25x = 289,376,775.23
  5. Step 5: Solve for x
    x = 289,376,775.23/25,190.25
  6. Step 6: Final answer
    x = 11,487.65

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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.