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Finding the Fourth Proportional to 25,077.74, 37,619.09 and 9,286.98

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Solution

The fourth proportional to 25,077.74, 37,619.09 and 9,286.98 is: 13,931.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,077.74 : 37,619.09 = 9,286.98 : x
  2. Step 2: Convert to fraction form
    25,077.74/37,619.09 = 9,286.98/x
  3. Step 3: Cross multiply
    25,077.74x = 37,619.09 × 9,286.98
  4. Step 4: Simplify right side
    25,077.74x = 349,367,690.01
  5. Step 5: Solve for x
    x = 349,367,690.01/25,077.74
  6. Step 6: Final answer
    x = 13,931.39

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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.