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Finding the Fourth Proportional to 25,270.14, 37,906.68 and 7,740.12

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Solution

The fourth proportional to 25,270.14, 37,906.68 and 7,740.12 is: 11,610.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,270.14 : 37,906.68 = 7,740.12 : x
  2. Step 2: Convert to fraction form
    25,270.14/37,906.68 = 7,740.12/x
  3. Step 3: Cross multiply
    25,270.14x = 37,906.68 × 7,740.12
  4. Step 4: Simplify right side
    25,270.14x = 293,402,252.00
  5. Step 5: Solve for x
    x = 293,402,252.00/25,270.14
  6. Step 6: Final answer
    x = 11,610.63

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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.