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Finding the Fourth Proportional to 15,345.50, 21,085 and 12,196.22

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Solution

The fourth proportional to 15,345.50, 21,085 and 12,196.22 is: 16,757.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,345.50 : 21,085 = 12,196.22 : x
  2. Step 2: Convert to fraction form
    15,345.50/21,085 = 12,196.22/x
  3. Step 3: Cross multiply
    15,345.50x = 21,085 × 12,196.22
  4. Step 4: Simplify right side
    15,345.50x = 257,157,298.70
  5. Step 5: Solve for x
    x = 257,157,298.70/15,345.50
  6. Step 6: Final answer
    x = 16,757.83

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.