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Finding the Fourth Proportional to 12,274.56, 18,400.41 and 4,477.50

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Solution

The fourth proportional to 12,274.56, 18,400.41 and 4,477.50 is: 6,712.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.56 : 18,400.41 = 4,477.50 : x
  2. Step 2: Convert to fraction form
    12,274.56/18,400.41 = 4,477.50/x
  3. Step 3: Cross multiply
    12,274.56x = 18,400.41 × 4,477.50
  4. Step 4: Simplify right side
    12,274.56x = 82,387,835.78
  5. Step 5: Solve for x
    x = 82,387,835.78/12,274.56
  6. Step 6: Final answer
    x = 6,712.08

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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.