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Finding the Fourth Proportional to 25,104.91, 37,657.63 and 7,574.89

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Solution

The fourth proportional to 25,104.91, 37,657.63 and 7,574.89 is: 11,362.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,104.91 : 37,657.63 = 7,574.89 : x
  2. Step 2: Convert to fraction form
    25,104.91/37,657.63 = 7,574.89/x
  3. Step 3: Cross multiply
    25,104.91x = 37,657.63 × 7,574.89
  4. Step 4: Simplify right side
    25,104.91x = 285,252,216.62
  5. Step 5: Solve for x
    x = 285,252,216.62/25,104.91
  6. Step 6: Final answer
    x = 11,362.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.