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Finding the Fourth Proportional to 21,876.83, 32,820.44 and 7,085.73

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Solution

The fourth proportional to 21,876.83, 32,820.44 and 7,085.73 is: 10,630.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,876.83 : 32,820.44 = 7,085.73 : x
  2. Step 2: Convert to fraction form
    21,876.83/32,820.44 = 7,085.73/x
  3. Step 3: Cross multiply
    21,876.83x = 32,820.44 × 7,085.73
  4. Step 4: Simplify right side
    21,876.83x = 232,556,740.89
  5. Step 5: Solve for x
    x = 232,556,740.89/21,876.83
  6. Step 6: Final answer
    x = 10,630.28

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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.