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Finding the Fourth Proportional to 25,105.76, 37,657.72 and 7,575.13

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Solution

The fourth proportional to 25,105.76, 37,657.72 and 7,575.13 is: 11,362.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,105.76 : 37,657.72 = 7,575.13 : x
  2. Step 2: Convert to fraction form
    25,105.76/37,657.72 = 7,575.13/x
  3. Step 3: Cross multiply
    25,105.76x = 37,657.72 × 7,575.13
  4. Step 4: Simplify right side
    25,105.76x = 285,261,898.34
  5. Step 5: Solve for x
    x = 285,261,898.34/25,105.76
  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.