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Finding the Fourth Proportional to 21,796.31, 32,686.77 and 7,000.23

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Solution

The fourth proportional to 21,796.31, 32,686.77 and 7,000.23 is: 10,497.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,796.31 : 32,686.77 = 7,000.23 : x
  2. Step 2: Convert to fraction form
    21,796.31/32,686.77 = 7,000.23/x
  3. Step 3: Cross multiply
    21,796.31x = 32,686.77 × 7,000.23
  4. Step 4: Simplify right side
    21,796.31x = 228,814,881.14
  5. Step 5: Solve for x
    x = 228,814,881.14/21,796.31
  6. Step 6: Final answer
    x = 10,497.87

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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.