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Finding the Fourth Proportional to 30,896.20, 42,636.71 and 16,749.05

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Solution

The fourth proportional to 30,896.20, 42,636.71 and 16,749.05 is: 23,113.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,896.20 : 42,636.71 = 16,749.05 : x
  2. Step 2: Convert to fraction form
    30,896.20/42,636.71 = 16,749.05/x
  3. Step 3: Cross multiply
    30,896.20x = 42,636.71 × 16,749.05
  4. Step 4: Simplify right side
    30,896.20x = 714,124,216.31
  5. Step 5: Solve for x
    x = 714,124,216.31/30,896.20
  6. Step 6: Final answer
    x = 23,113.66

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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.