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Finding the Fourth Proportional to 21,296.12, 31,965.50 and 8,823.47

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Solution

The fourth proportional to 21,296.12, 31,965.50 and 8,823.47 is: 13,244.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,296.12 : 31,965.50 = 8,823.47 : x
  2. Step 2: Convert to fraction form
    21,296.12/31,965.50 = 8,823.47/x
  3. Step 3: Cross multiply
    21,296.12x = 31,965.50 × 8,823.47
  4. Step 4: Simplify right side
    21,296.12x = 282,046,492.52
  5. Step 5: Solve for x
    x = 282,046,492.52/21,296.12
  6. Step 6: Final answer
    x = 13,244.04

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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.