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Finding the Fourth Proportional to 25,201.23, 37,807.48 and 7,672.42

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Solution

The fourth proportional to 25,201.23, 37,807.48 and 7,672.42 is: 11,510.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,201.23 : 37,807.48 = 7,672.42 : x
  2. Step 2: Convert to fraction form
    25,201.23/37,807.48 = 7,672.42/x
  3. Step 3: Cross multiply
    25,201.23x = 37,807.48 × 7,672.42
  4. Step 4: Simplify right side
    25,201.23x = 290,074,922.55
  5. Step 5: Solve for x
    x = 290,074,922.55/25,201.23
  6. Step 6: Final answer
    x = 11,510.35

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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.