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Finding the Fourth Proportional to 30,967.36, 42,734.71 and 16,820.30

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Solution

The fourth proportional to 30,967.36, 42,734.71 and 16,820.30 is: 23,211.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,967.36 : 42,734.71 = 16,820.30 : x
  2. Step 2: Convert to fraction form
    30,967.36/42,734.71 = 16,820.30/x
  3. Step 3: Cross multiply
    30,967.36x = 42,734.71 × 16,820.30
  4. Step 4: Simplify right side
    30,967.36x = 718,810,642.61
  5. Step 5: Solve for x
    x = 718,810,642.61/30,967.36
  6. Step 6: Final answer
    x = 23,211.88

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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.