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Finding the Fourth Proportional to 21,449.57, 32,154.91 and 12,196.13

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Solution

The fourth proportional to 21,449.57, 32,154.91 and 12,196.13 is: 18,283.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,449.57 : 32,154.91 = 12,196.13 : x
  2. Step 2: Convert to fraction form
    21,449.57/32,154.91 = 12,196.13/x
  3. Step 3: Cross multiply
    21,449.57x = 32,154.91 × 12,196.13
  4. Step 4: Simplify right side
    21,449.57x = 392,165,271.23
  5. Step 5: Solve for x
    x = 392,165,271.23/21,449.57
  6. Step 6: Final answer
    x = 18,283.13

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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.