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Finding the Fourth Proportional to 25,094.84, 37,642.42 and 7,564.60

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Solution

The fourth proportional to 25,094.84, 37,642.42 and 7,564.60 is: 11,346.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,094.84 : 37,642.42 = 7,564.60 : x
  2. Step 2: Convert to fraction form
    25,094.84/37,642.42 = 7,564.60/x
  3. Step 3: Cross multiply
    25,094.84x = 37,642.42 × 7,564.60
  4. Step 4: Simplify right side
    25,094.84x = 284,749,850.33
  5. Step 5: Solve for x
    x = 284,749,850.33/25,094.84
  6. Step 6: Final answer
    x = 11,346.95

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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.