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Finding the Fourth Proportional to 25,208.07, 37,809.22 and 6,741.51

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Solution

The fourth proportional to 25,208.07, 37,809.22 and 6,741.51 is: 10,111.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,208.07 : 37,809.22 = 6,741.51 : x
  2. Step 2: Convert to fraction form
    25,208.07/37,809.22 = 6,741.51/x
  3. Step 3: Cross multiply
    25,208.07x = 37,809.22 × 6,741.51
  4. Step 4: Simplify right side
    25,208.07x = 254,891,234.72
  5. Step 5: Solve for x
    x = 254,891,234.72/25,208.07
  6. Step 6: Final answer
    x = 10,111.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.