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Finding the Fourth Proportional to 14,654.33, 20,222.98 and 7,940

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Solution

The fourth proportional to 14,654.33, 20,222.98 and 7,940 is: 10,957.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,654.33 : 20,222.98 = 7,940 : x
  2. Step 2: Convert to fraction form
    14,654.33/20,222.98 = 7,940/x
  3. Step 3: Cross multiply
    14,654.33x = 20,222.98 × 7,940
  4. Step 4: Simplify right side
    14,654.33x = 160,570,461.20
  5. Step 5: Solve for x
    x = 160,570,461.20/14,654.33
  6. Step 6: Final answer
    x = 10,957.20

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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.