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Finding the Fourth Proportional to 19,612.50, 29,425.24 and 6,287.60

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Solution

The fourth proportional to 19,612.50, 29,425.24 and 6,287.60 is: 9,433.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,612.50 : 29,425.24 = 6,287.60 : x
  2. Step 2: Convert to fraction form
    19,612.50/29,425.24 = 6,287.60/x
  3. Step 3: Cross multiply
    19,612.50x = 29,425.24 × 6,287.60
  4. Step 4: Simplify right side
    19,612.50x = 185,014,139.02
  5. Step 5: Solve for x
    x = 185,014,139.02/19,612.50
  6. Step 6: Final answer
    x = 9,433.48

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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.