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Finding the Fourth Proportional to 20,546.98, 30,792.12 and 10,666.60

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Solution

The fourth proportional to 20,546.98, 30,792.12 and 10,666.60 is: 15,985.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,546.98 : 30,792.12 = 10,666.60 : x
  2. Step 2: Convert to fraction form
    20,546.98/30,792.12 = 10,666.60/x
  3. Step 3: Cross multiply
    20,546.98x = 30,792.12 × 10,666.60
  4. Step 4: Simplify right side
    20,546.98x = 328,447,227.19
  5. Step 5: Solve for x
    x = 328,447,227.19/20,546.98
  6. Step 6: Final answer
    x = 15,985.18

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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.