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Finding the Fourth Proportional to 15,999.70, 23,999.55 and 8,203.54

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Solution

The fourth proportional to 15,999.70, 23,999.55 and 8,203.54 is: 12,305.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,999.70 : 23,999.55 = 8,203.54 : x
  2. Step 2: Convert to fraction form
    15,999.70/23,999.55 = 8,203.54/x
  3. Step 3: Cross multiply
    15,999.70x = 23,999.55 × 8,203.54
  4. Step 4: Simplify right side
    15,999.70x = 196,881,268.41
  5. Step 5: Solve for x
    x = 196,881,268.41/15,999.70
  6. Step 6: Final answer
    x = 12,305.31

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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.