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Finding the Fourth Proportional to 21,723.63, 29,971.64 and 12,162.11

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Solution

The fourth proportional to 21,723.63, 29,971.64 and 12,162.11 is: 16,779.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,723.63 : 29,971.64 = 12,162.11 : x
  2. Step 2: Convert to fraction form
    21,723.63/29,971.64 = 12,162.11/x
  3. Step 3: Cross multiply
    21,723.63x = 29,971.64 × 12,162.11
  4. Step 4: Simplify right side
    21,723.63x = 364,518,171.89
  5. Step 5: Solve for x
    x = 364,518,171.89/21,723.63
  6. Step 6: Final answer
    x = 16,779.80

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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.