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Finding the Fourth Proportional to 25,202.85, 37,809.74 and 7,672.22

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Solution

The fourth proportional to 25,202.85, 37,809.74 and 7,672.22 is: 11,509.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,202.85 : 37,809.74 = 7,672.22 : x
  2. Step 2: Convert to fraction form
    25,202.85/37,809.74 = 7,672.22/x
  3. Step 3: Cross multiply
    25,202.85x = 37,809.74 × 7,672.22
  4. Step 4: Simplify right side
    25,202.85x = 290,084,572.18
  5. Step 5: Solve for x
    x = 290,084,572.18/25,202.85
  6. Step 6: Final answer
    x = 11,509.99

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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.