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Finding the Fourth Proportional to 25,144, 37,720.86 and 9,560.41

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Solution

The fourth proportional to 25,144, 37,720.86 and 9,560.41 is: 14,342.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,144 : 37,720.86 = 9,560.41 : x
  2. Step 2: Convert to fraction form
    25,144/37,720.86 = 9,560.41/x
  3. Step 3: Cross multiply
    25,144x = 37,720.86 × 9,560.41
  4. Step 4: Simplify right side
    25,144x = 360,626,887.15
  5. Step 5: Solve for x
    x = 360,626,887.15/25,144
  6. Step 6: Final answer
    x = 14,342.46

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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.