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Finding the Fourth Proportional to 14,787.98, 20,406.65 and 8,072.32

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Solution

The fourth proportional to 14,787.98, 20,406.65 and 8,072.32 is: 11,139.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,787.98 : 20,406.65 = 8,072.32 : x
  2. Step 2: Convert to fraction form
    14,787.98/20,406.65 = 8,072.32/x
  3. Step 3: Cross multiply
    14,787.98x = 20,406.65 × 8,072.32
  4. Step 4: Simplify right side
    14,787.98x = 164,728,917.55
  5. Step 5: Solve for x
    x = 164,728,917.55/14,787.98
  6. Step 6: Final answer
    x = 11,139.38

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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.