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Finding the Fourth Proportional to 21,673.63, 32,504.01 and 9,193.48

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Solution

The fourth proportional to 21,673.63, 32,504.01 and 9,193.48 is: 13,787.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,673.63 : 32,504.01 = 9,193.48 : x
  2. Step 2: Convert to fraction form
    21,673.63/32,504.01 = 9,193.48/x
  3. Step 3: Cross multiply
    21,673.63x = 32,504.01 × 9,193.48
  4. Step 4: Simplify right side
    21,673.63x = 298,824,965.85
  5. Step 5: Solve for x
    x = 298,824,965.85/21,673.63
  6. Step 6: Final answer
    x = 13,787.49

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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.