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Finding the Fourth Proportional to 21,684.67, 32,529.17 and 10,001.23

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Solution

The fourth proportional to 21,684.67, 32,529.17 and 10,001.23 is: 15,002.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,684.67 : 32,529.17 = 10,001.23 : x
  2. Step 2: Convert to fraction form
    21,684.67/32,529.17 = 10,001.23/x
  3. Step 3: Cross multiply
    21,684.67x = 32,529.17 × 10,001.23
  4. Step 4: Simplify right side
    21,684.67x = 325,331,710.88
  5. Step 5: Solve for x
    x = 325,331,710.88/21,684.67
  6. Step 6: Final answer
    x = 15,002.84

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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.