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Finding the Fourth Proportional to 21,538.02, 32,307.02 and 9,843.03

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Solution

The fourth proportional to 21,538.02, 32,307.02 and 9,843.03 is: 14,764.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,538.02 : 32,307.02 = 9,843.03 : x
  2. Step 2: Convert to fraction form
    21,538.02/32,307.02 = 9,843.03/x
  3. Step 3: Cross multiply
    21,538.02x = 32,307.02 × 9,843.03
  4. Step 4: Simplify right side
    21,538.02x = 317,998,967.07
  5. Step 5: Solve for x
    x = 317,998,967.07/21,538.02
  6. Step 6: Final answer
    x = 14,764.54

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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.