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Finding the Fourth Proportional to 14,965.46, 22,448.40 and 7,172.46

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Solution

The fourth proportional to 14,965.46, 22,448.40 and 7,172.46 is: 10,758.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,965.46 : 22,448.40 = 7,172.46 : x
  2. Step 2: Convert to fraction form
    14,965.46/22,448.40 = 7,172.46/x
  3. Step 3: Cross multiply
    14,965.46x = 22,448.40 × 7,172.46
  4. Step 4: Simplify right side
    14,965.46x = 161,010,251.06
  5. Step 5: Solve for x
    x = 161,010,251.06/14,965.46
  6. Step 6: Final answer
    x = 10,758.79

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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.