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Finding the Fourth Proportional to 30,811.22, 42,519.74 and 17,014

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Solution

The fourth proportional to 30,811.22, 42,519.74 and 17,014 is: 23,479.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,811.22 : 42,519.74 = 17,014 : x
  2. Step 2: Convert to fraction form
    30,811.22/42,519.74 = 17,014/x
  3. Step 3: Cross multiply
    30,811.22x = 42,519.74 × 17,014
  4. Step 4: Simplify right side
    30,811.22x = 723,430,856.36
  5. Step 5: Solve for x
    x = 723,430,856.36/30,811.22
  6. Step 6: Final answer
    x = 23,479.46

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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.