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Finding the Fourth Proportional to 21,570.12, 29,765.16 and 12,136.86

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Solution

The fourth proportional to 21,570.12, 29,765.16 and 12,136.86 is: 16,747.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,570.12 : 29,765.16 = 12,136.86 : x
  2. Step 2: Convert to fraction form
    21,570.12/29,765.16 = 12,136.86/x
  3. Step 3: Cross multiply
    21,570.12x = 29,765.16 × 12,136.86
  4. Step 4: Simplify right side
    21,570.12x = 361,255,579.80
  5. Step 5: Solve for x
    x = 361,255,579.80/21,570.12
  6. Step 6: Final answer
    x = 16,747.96

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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.