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Finding the Fourth Proportional to 25,293.09, 37,944.09 and 8,649.21

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Solution

The fourth proportional to 25,293.09, 37,944.09 and 8,649.21 is: 12,975.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,293.09 : 37,944.09 = 8,649.21 : x
  2. Step 2: Convert to fraction form
    25,293.09/37,944.09 = 8,649.21/x
  3. Step 3: Cross multiply
    25,293.09x = 37,944.09 × 8,649.21
  4. Step 4: Simplify right side
    25,293.09x = 328,186,402.67
  5. Step 5: Solve for x
    x = 328,186,402.67/25,293.09
  6. Step 6: Final answer
    x = 12,975.34

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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.