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Finding the Fourth Proportional to 21,726, 29,980.44 and 12,164.22

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Solution

The fourth proportional to 21,726, 29,980.44 and 12,164.22 is: 16,785.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,726 : 29,980.44 = 12,164.22 : x
  2. Step 2: Convert to fraction form
    21,726/29,980.44 = 12,164.22/x
  3. Step 3: Cross multiply
    21,726x = 29,980.44 × 12,164.22
  4. Step 4: Simplify right side
    21,726x = 364,688,667.86
  5. Step 5: Solve for x
    x = 364,688,667.86/21,726
  6. Step 6: Final answer
    x = 16,785.82

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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.