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Finding the Fourth Proportional to 30,965.34, 42,731.78 and 16,818.28

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Solution

The fourth proportional to 30,965.34, 42,731.78 and 16,818.28 is: 23,209.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,965.34 : 42,731.78 = 16,818.28 : x
  2. Step 2: Convert to fraction form
    30,965.34/42,731.78 = 16,818.28/x
  3. Step 3: Cross multiply
    30,965.34x = 42,731.78 × 16,818.28
  4. Step 4: Simplify right side
    30,965.34x = 718,675,040.94
  5. Step 5: Solve for x
    x = 718,675,040.94/30,965.34
  6. Step 6: Final answer
    x = 23,209.02

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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.