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Finding the Fourth Proportional to 21,494.29, 29,662.14 and 12,062.86

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Solution

The fourth proportional to 21,494.29, 29,662.14 and 12,062.86 is: 16,646.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,494.29 : 29,662.14 = 12,062.86 : x
  2. Step 2: Convert to fraction form
    21,494.29/29,662.14 = 12,062.86/x
  3. Step 3: Cross multiply
    21,494.29x = 29,662.14 × 12,062.86
  4. Step 4: Simplify right side
    21,494.29x = 357,810,242.12
  5. Step 5: Solve for x
    x = 357,810,242.12/21,494.29
  6. Step 6: Final answer
    x = 16,646.76

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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.