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Finding the Fourth Proportional to 22,999.83, 34,478.95 and 8,205.23

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Solution

The fourth proportional to 22,999.83, 34,478.95 and 8,205.23 is: 12,300.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,999.83 : 34,478.95 = 8,205.23 : x
  2. Step 2: Convert to fraction form
    22,999.83/34,478.95 = 8,205.23/x
  3. Step 3: Cross multiply
    22,999.83x = 34,478.95 × 8,205.23
  4. Step 4: Simplify right side
    22,999.83x = 282,907,542.51
  5. Step 5: Solve for x
    x = 282,907,542.51/22,999.83
  6. Step 6: Final answer
    x = 12,300.42

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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.