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Finding the Fourth Proportional to 21,820.69, 32,703.58 and 11,825.07

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Solution

The fourth proportional to 21,820.69, 32,703.58 and 11,825.07 is: 17,722.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,820.69 : 32,703.58 = 11,825.07 : x
  2. Step 2: Convert to fraction form
    21,820.69/32,703.58 = 11,825.07/x
  3. Step 3: Cross multiply
    21,820.69x = 32,703.58 × 11,825.07
  4. Step 4: Simplify right side
    21,820.69x = 386,722,122.75
  5. Step 5: Solve for x
    x = 386,722,122.75/21,820.69
  6. Step 6: Final answer
    x = 17,722.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.