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Finding the Fourth Proportional to 18,296.48, 27,452.93 and 8,430.48

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Solution

The fourth proportional to 18,296.48, 27,452.93 and 8,430.48 is: 12,649.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,296.48 : 27,452.93 = 8,430.48 : x
  2. Step 2: Convert to fraction form
    18,296.48/27,452.93 = 8,430.48/x
  3. Step 3: Cross multiply
    18,296.48x = 27,452.93 × 8,430.48
  4. Step 4: Simplify right side
    18,296.48x = 231,441,335.15
  5. Step 5: Solve for x
    x = 231,441,335.15/18,296.48
  6. Step 6: Final answer
    x = 12,649.50

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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.