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Finding the Fourth Proportional to 25,173.92, 37,758.44 and 7,643.90

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Solution

The fourth proportional to 25,173.92, 37,758.44 and 7,643.90 is: 11,465.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,173.92 : 37,758.44 = 7,643.90 : x
  2. Step 2: Convert to fraction form
    25,173.92/37,758.44 = 7,643.90/x
  3. Step 3: Cross multiply
    25,173.92x = 37,758.44 × 7,643.90
  4. Step 4: Simplify right side
    25,173.92x = 288,621,853.02
  5. Step 5: Solve for x
    x = 288,621,853.02/25,173.92
  6. Step 6: Final answer
    x = 11,465.11

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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.