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Finding the Fourth Proportional to 23,883.12, 35,824.92 and 9,092.16

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Solution

The fourth proportional to 23,883.12, 35,824.92 and 9,092.16 is: 13,638.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,883.12 : 35,824.92 = 9,092.16 : x
  2. Step 2: Convert to fraction form
    23,883.12/35,824.92 = 9,092.16/x
  3. Step 3: Cross multiply
    23,883.12x = 35,824.92 × 9,092.16
  4. Step 4: Simplify right side
    23,883.12x = 325,725,904.63
  5. Step 5: Solve for x
    x = 325,725,904.63/23,883.12
  6. Step 6: Final answer
    x = 13,638.33

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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.