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Finding the Fourth Proportional to 14,032.19, 20,945.57 and 12,371.49

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Solution

The fourth proportional to 14,032.19, 20,945.57 and 12,371.49 is: 18,466.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,032.19 : 20,945.57 = 12,371.49 : x
  2. Step 2: Convert to fraction form
    14,032.19/20,945.57 = 12,371.49/x
  3. Step 3: Cross multiply
    14,032.19x = 20,945.57 × 12,371.49
  4. Step 4: Simplify right side
    14,032.19x = 259,127,847.94
  5. Step 5: Solve for x
    x = 259,127,847.94/14,032.19
  6. Step 6: Final answer
    x = 18,466.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.