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Finding the Fourth Proportional to 21,564.27, 32,346.54 and 7,524.23

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Solution

The fourth proportional to 21,564.27, 32,346.54 and 7,524.23 is: 11,286.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,564.27 : 32,346.54 = 7,524.23 : x
  2. Step 2: Convert to fraction form
    21,564.27/32,346.54 = 7,524.23/x
  3. Step 3: Cross multiply
    21,564.27x = 32,346.54 × 7,524.23
  4. Step 4: Simplify right side
    21,564.27x = 243,382,644.93
  5. Step 5: Solve for x
    x = 243,382,644.93/21,564.27
  6. Step 6: Final answer
    x = 11,286.38

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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.