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Finding the Fourth Proportional to 15,197.68, 20,971.08 and 8,822.32

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Solution

The fourth proportional to 15,197.68, 20,971.08 and 8,822.32 is: 12,173.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,197.68 : 20,971.08 = 8,822.32 : x
  2. Step 2: Convert to fraction form
    15,197.68/20,971.08 = 8,822.32/x
  3. Step 3: Cross multiply
    15,197.68x = 20,971.08 × 8,822.32
  4. Step 4: Simplify right side
    15,197.68x = 185,013,578.51
  5. Step 5: Solve for x
    x = 185,013,578.51/15,197.68
  6. Step 6: Final answer
    x = 12,173.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.