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Finding the Fourth Proportional to 12,431.74, 18,648.45 and 4,640.50

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Solution

The fourth proportional to 12,431.74, 18,648.45 and 4,640.50 is: 6,961.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,431.74 : 18,648.45 = 4,640.50 : x
  2. Step 2: Convert to fraction form
    12,431.74/18,648.45 = 4,640.50/x
  3. Step 3: Cross multiply
    12,431.74x = 18,648.45 × 4,640.50
  4. Step 4: Simplify right side
    12,431.74x = 86,538,132.23
  5. Step 5: Solve for x
    x = 86,538,132.23/12,431.74
  6. Step 6: Final answer
    x = 6,961.06

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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.