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Finding the Fourth Proportional to 21,324.97, 31,973.77 and 8,853.60

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Solution

The fourth proportional to 21,324.97, 31,973.77 and 8,853.60 is: 13,274.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,324.97 : 31,973.77 = 8,853.60 : x
  2. Step 2: Convert to fraction form
    21,324.97/31,973.77 = 8,853.60/x
  3. Step 3: Cross multiply
    21,324.97x = 31,973.77 × 8,853.60
  4. Step 4: Simplify right side
    21,324.97x = 283,083,101.04
  5. Step 5: Solve for x
    x = 283,083,101.04/21,324.97
  6. Step 6: Final answer
    x = 13,274.72

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1.5x scale

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.