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Finding the Fourth Proportional to 21,632.85, 29,848.23 and 12,199.59

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Solution

The fourth proportional to 21,632.85, 29,848.23 and 12,199.59 is: 16,832.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,632.85 : 29,848.23 = 12,199.59 : x
  2. Step 2: Convert to fraction form
    21,632.85/29,848.23 = 12,199.59/x
  3. Step 3: Cross multiply
    21,632.85x = 29,848.23 × 12,199.59
  4. Step 4: Simplify right side
    21,632.85x = 364,136,168.23
  5. Step 5: Solve for x
    x = 364,136,168.23/21,632.85
  6. Step 6: Final answer
    x = 16,832.56

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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.