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Finding the Fourth Proportional to 21,538.61, 32,307.91 and 9,843.63

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Solution

The fourth proportional to 21,538.61, 32,307.91 and 9,843.63 is: 14,765.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,538.61 : 32,307.91 = 9,843.63 : x
  2. Step 2: Convert to fraction form
    21,538.61/32,307.91 = 9,843.63/x
  3. Step 3: Cross multiply
    21,538.61x = 32,307.91 × 9,843.63
  4. Step 4: Simplify right side
    21,538.61x = 318,027,112.11
  5. Step 5: Solve for x
    x = 318,027,112.11/21,538.61
  6. Step 6: Final answer
    x = 14,765.44

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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.