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Finding the Fourth Proportional to 21,742.81, 30,005.19 and 12,313.21

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Solution

The fourth proportional to 21,742.81, 30,005.19 and 12,313.21 is: 16,992.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,742.81 : 30,005.19 = 12,313.21 : x
  2. Step 2: Convert to fraction form
    21,742.81/30,005.19 = 12,313.21/x
  3. Step 3: Cross multiply
    21,742.81x = 30,005.19 × 12,313.21
  4. Step 4: Simplify right side
    21,742.81x = 369,460,205.56
  5. Step 5: Solve for x
    x = 369,460,205.56/21,742.81
  6. Step 6: Final answer
    x = 16,992.29

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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.