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Finding the Fourth Proportional to 25,189.47, 37,784.61 and 7,660.26

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Solution

The fourth proportional to 25,189.47, 37,784.61 and 7,660.26 is: 11,490.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,189.47 : 37,784.61 = 7,660.26 : x
  2. Step 2: Convert to fraction form
    25,189.47/37,784.61 = 7,660.26/x
  3. Step 3: Cross multiply
    25,189.47x = 37,784.61 × 7,660.26
  4. Step 4: Simplify right side
    25,189.47x = 289,439,936.60
  5. Step 5: Solve for x
    x = 289,439,936.60/25,189.47
  6. Step 6: Final answer
    x = 11,490.51

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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.