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Finding the Fourth Proportional to 14,510.64, 20,021.94 and 13,772.46

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Solution

The fourth proportional to 14,510.64, 20,021.94 and 13,772.46 is: 19,003.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,510.64 : 20,021.94 = 13,772.46 : x
  2. Step 2: Convert to fraction form
    14,510.64/20,021.94 = 13,772.46/x
  3. Step 3: Cross multiply
    14,510.64x = 20,021.94 × 13,772.46
  4. Step 4: Simplify right side
    14,510.64x = 275,751,367.77
  5. Step 5: Solve for x
    x = 275,751,367.77/14,510.64
  6. Step 6: Final answer
    x = 19,003.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.