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Finding the Fourth Proportional to 14,022.90, 19,351.63 and 7,649.50

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Solution

The fourth proportional to 14,022.90, 19,351.63 and 7,649.50 is: 10,556.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,022.90 : 19,351.63 = 7,649.50 : x
  2. Step 2: Convert to fraction form
    14,022.90/19,351.63 = 7,649.50/x
  3. Step 3: Cross multiply
    14,022.90x = 19,351.63 × 7,649.50
  4. Step 4: Simplify right side
    14,022.90x = 148,030,293.69
  5. Step 5: Solve for x
    x = 148,030,293.69/14,022.90
  6. Step 6: Final answer
    x = 10,556.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.