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Finding the Fourth Proportional to 21,383.37, 29,507.86 and 11,822.71

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Solution

The fourth proportional to 21,383.37, 29,507.86 and 11,822.71 is: 16,314.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,383.37 : 29,507.86 = 11,822.71 : x
  2. Step 2: Convert to fraction form
    21,383.37/29,507.86 = 11,822.71/x
  3. Step 3: Cross multiply
    21,383.37x = 29,507.86 × 11,822.71
  4. Step 4: Simplify right side
    21,383.37x = 348,862,723.96
  5. Step 5: Solve for x
    x = 348,862,723.96/21,383.37
  6. Step 6: Final answer
    x = 16,314.67

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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.