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Finding the Fourth Proportional to 25,028, 37,542 and 9,441.98

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Solution

The fourth proportional to 25,028, 37,542 and 9,441.98 is: 14,162.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,028 : 37,542 = 9,441.98 : x
  2. Step 2: Convert to fraction form
    25,028/37,542 = 9,441.98/x
  3. Step 3: Cross multiply
    25,028x = 37,542 × 9,441.98
  4. Step 4: Simplify right side
    25,028x = 354,470,813.16
  5. Step 5: Solve for x
    x = 354,470,813.16/25,028
  6. Step 6: Final answer
    x = 14,162.97

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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.