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Finding the Fourth Proportional to 21,620.26, 32,419.59 and 9,923.50

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Solution

The fourth proportional to 21,620.26, 32,419.59 and 9,923.50 is: 14,880.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,620.26 : 32,419.59 = 9,923.50 : x
  2. Step 2: Convert to fraction form
    21,620.26/32,419.59 = 9,923.50/x
  3. Step 3: Cross multiply
    21,620.26x = 32,419.59 × 9,923.50
  4. Step 4: Simplify right side
    21,620.26x = 321,715,801.37
  5. Step 5: Solve for x
    x = 321,715,801.37/21,620.26
  6. Step 6: Final answer
    x = 14,880.29

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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.