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Finding the Fourth Proportional to 12,266.98, 16,922.01 and 7,157.86

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Solution

The fourth proportional to 12,266.98, 16,922.01 and 7,157.86 is: 9,874.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,266.98 : 16,922.01 = 7,157.86 : x
  2. Step 2: Convert to fraction form
    12,266.98/16,922.01 = 7,157.86/x
  3. Step 3: Cross multiply
    12,266.98x = 16,922.01 × 7,157.86
  4. Step 4: Simplify right side
    12,266.98x = 121,125,378.50
  5. Step 5: Solve for x
    x = 121,125,378.50/12,266.98
  6. Step 6: Final answer
    x = 9,874.10

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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.