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Finding the Fourth Proportional to 12,464.33, 18,695.97 and 5,068.50

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Solution

The fourth proportional to 12,464.33, 18,695.97 and 5,068.50 is: 7,602.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.33 : 18,695.97 = 5,068.50 : x
  2. Step 2: Convert to fraction form
    12,464.33/18,695.97 = 5,068.50/x
  3. Step 3: Cross multiply
    12,464.33x = 18,695.97 × 5,068.50
  4. Step 4: Simplify right side
    12,464.33x = 94,760,523.95
  5. Step 5: Solve for x
    x = 94,760,523.95/12,464.33
  6. Step 6: Final answer
    x = 7,602.54

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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.