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Finding the Fourth Proportional to 21,693.19, 32,544.57 and 9,223.89

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Solution

The fourth proportional to 21,693.19, 32,544.57 and 9,223.89 is: 13,837.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,693.19 : 32,544.57 = 9,223.89 : x
  2. Step 2: Convert to fraction form
    21,693.19/32,544.57 = 9,223.89/x
  3. Step 3: Cross multiply
    21,693.19x = 32,544.57 × 9,223.89
  4. Step 4: Simplify right side
    21,693.19x = 300,187,533.78
  5. Step 5: Solve for x
    x = 300,187,533.78/21,693.19
  6. Step 6: Final answer
    x = 13,837.87

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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.