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Finding the Fourth Proportional to 14,244.14, 19,657.33 and 7,956.38

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Solution

The fourth proportional to 14,244.14, 19,657.33 and 7,956.38 is: 10,980.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,244.14 : 19,657.33 = 7,956.38 : x
  2. Step 2: Convert to fraction form
    14,244.14/19,657.33 = 7,956.38/x
  3. Step 3: Cross multiply
    14,244.14x = 19,657.33 × 7,956.38
  4. Step 4: Simplify right side
    14,244.14x = 156,401,069.09
  5. Step 5: Solve for x
    x = 156,401,069.09/14,244.14
  6. Step 6: Final answer
    x = 10,980.03

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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.