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Finding the Fourth Proportional to 21,743.45, 32,627.48 and 9,262.17

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Solution

The fourth proportional to 21,743.45, 32,627.48 and 9,262.17 is: 13,898.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,743.45 : 32,627.48 = 9,262.17 : x
  2. Step 2: Convert to fraction form
    21,743.45/32,627.48 = 9,262.17/x
  3. Step 3: Cross multiply
    21,743.45x = 32,627.48 × 9,262.17
  4. Step 4: Simplify right side
    21,743.45x = 302,201,220.12
  5. Step 5: Solve for x
    x = 302,201,220.12/21,743.45
  6. Step 6: Final answer
    x = 13,898.50

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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.