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Finding the Fourth Proportional to 14,080.05, 19,430.17 and 7,706.49

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Solution

The fourth proportional to 14,080.05, 19,430.17 and 7,706.49 is: 10,634.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,080.05 : 19,430.17 = 7,706.49 : x
  2. Step 2: Convert to fraction form
    14,080.05/19,430.17 = 7,706.49/x
  3. Step 3: Cross multiply
    14,080.05x = 19,430.17 × 7,706.49
  4. Step 4: Simplify right side
    14,080.05x = 149,738,471.32
  5. Step 5: Solve for x
    x = 149,738,471.32/14,080.05
  6. Step 6: Final answer
    x = 10,634.80

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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.