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Finding the Fourth Proportional to 14,643.80, 20,208.38 and 7,929.37

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Solution

The fourth proportional to 14,643.80, 20,208.38 and 7,929.37 is: 10,942.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,643.80 : 20,208.38 = 7,929.37 : x
  2. Step 2: Convert to fraction form
    14,643.80/20,208.38 = 7,929.37/x
  3. Step 3: Cross multiply
    14,643.80x = 20,208.38 × 7,929.37
  4. Step 4: Simplify right side
    14,643.80x = 160,239,722.12
  5. Step 5: Solve for x
    x = 160,239,722.12/14,643.80
  6. Step 6: Final answer
    x = 10,942.50

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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.