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Finding the Fourth Proportional to 14,114.41, 19,478.01 and 7,741.06

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Solution

The fourth proportional to 14,114.41, 19,478.01 and 7,741.06 is: 10,682.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,114.41 : 19,478.01 = 7,741.06 : x
  2. Step 2: Convert to fraction form
    14,114.41/19,478.01 = 7,741.06/x
  3. Step 3: Cross multiply
    14,114.41x = 19,478.01 × 7,741.06
  4. Step 4: Simplify right side
    14,114.41x = 150,780,346.70
  5. Step 5: Solve for x
    x = 150,780,346.70/14,114.41
  6. Step 6: Final answer
    x = 10,682.73

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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.