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Finding the Fourth Proportional to 21,724, 29,977.68 and 12,162.22

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Solution

The fourth proportional to 21,724, 29,977.68 and 12,162.22 is: 16,783.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,724 : 29,977.68 = 12,162.22 : x
  2. Step 2: Convert to fraction form
    21,724/29,977.68 = 12,162.22/x
  3. Step 3: Cross multiply
    21,724x = 29,977.68 × 12,162.22
  4. Step 4: Simplify right side
    21,724x = 364,595,139.25
  5. Step 5: Solve for x
    x = 364,595,139.25/21,724
  6. Step 6: Final answer
    x = 16,783.06

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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.