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Finding the Fourth Proportional to 25,077.65, 37,635.37 and 9,297.53

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Solution

The fourth proportional to 25,077.65, 37,635.37 and 9,297.53 is: 13,953.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,077.65 : 37,635.37 = 9,297.53 : x
  2. Step 2: Convert to fraction form
    25,077.65/37,635.37 = 9,297.53/x
  3. Step 3: Cross multiply
    25,077.65x = 37,635.37 × 9,297.53
  4. Step 4: Simplify right side
    25,077.65x = 349,915,911.35
  5. Step 5: Solve for x
    x = 349,915,911.35/25,077.65
  6. Step 6: Final answer
    x = 13,953.30

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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.