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Finding the Fourth Proportional to 14,965.50, 22,448.36 and 6,643.28

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Solution

The fourth proportional to 14,965.50, 22,448.36 and 6,643.28 is: 9,964.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,965.50 : 22,448.36 = 6,643.28 : x
  2. Step 2: Convert to fraction form
    14,965.50/22,448.36 = 6,643.28/x
  3. Step 3: Cross multiply
    14,965.50x = 22,448.36 × 6,643.28
  4. Step 4: Simplify right side
    14,965.50x = 149,130,729.57
  5. Step 5: Solve for x
    x = 149,130,729.57/14,965.50
  6. Step 6: Final answer
    x = 9,964.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.