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Finding the Fourth Proportional to 25,042.76, 37,564.16 and 10,249.12

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Solution

The fourth proportional to 25,042.76, 37,564.16 and 10,249.12 is: 15,373.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,042.76 : 37,564.16 = 10,249.12 : x
  2. Step 2: Convert to fraction form
    25,042.76/37,564.16 = 10,249.12/x
  3. Step 3: Cross multiply
    25,042.76x = 37,564.16 × 10,249.12
  4. Step 4: Simplify right side
    25,042.76x = 384,999,583.54
  5. Step 5: Solve for x
    x = 384,999,583.54/25,042.76
  6. Step 6: Final answer
    x = 15,373.69

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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.