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Finding the Fourth Proportional to 14,074.22, 19,422.38 and 7,701.39

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Solution

The fourth proportional to 14,074.22, 19,422.38 and 7,701.39 is: 10,627.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,074.22 : 19,422.38 = 7,701.39 : x
  2. Step 2: Convert to fraction form
    14,074.22/19,422.38 = 7,701.39/x
  3. Step 3: Cross multiply
    14,074.22x = 19,422.38 × 7,701.39
  4. Step 4: Simplify right side
    14,074.22x = 149,579,342.36
  5. Step 5: Solve for x
    x = 149,579,342.36/14,074.22
  6. Step 6: Final answer
    x = 10,627.89

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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.