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Finding the Fourth Proportional to 30,177.80, 41,643.22 and 16,749.64

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Solution

The fourth proportional to 30,177.80, 41,643.22 and 16,749.64 is: 23,113.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,177.80 : 41,643.22 = 16,749.64 : x
  2. Step 2: Convert to fraction form
    30,177.80/41,643.22 = 16,749.64/x
  3. Step 3: Cross multiply
    30,177.80x = 41,643.22 × 16,749.64
  4. Step 4: Simplify right side
    30,177.80x = 697,508,943.44
  5. Step 5: Solve for x
    x = 697,508,943.44/30,177.80
  6. Step 6: Final answer
    x = 23,113.31

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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.