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Finding the Fourth Proportional to 25,184.93, 37,777.46 and 12,034.31

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Solution

The fourth proportional to 25,184.93, 37,777.46 and 12,034.31 is: 18,051.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,184.93 : 37,777.46 = 12,034.31 : x
  2. Step 2: Convert to fraction form
    25,184.93/37,777.46 = 12,034.31/x
  3. Step 3: Cross multiply
    25,184.93x = 37,777.46 × 12,034.31
  4. Step 4: Simplify right side
    25,184.93x = 454,625,415.59
  5. Step 5: Solve for x
    x = 454,625,415.59/25,184.93
  6. Step 6: Final answer
    x = 18,051.49

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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.