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Finding the Fourth Proportional to 30,967.76, 42,734.22 and 16,820.24

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Solution

The fourth proportional to 30,967.76, 42,734.22 and 16,820.24 is: 23,211.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,967.76 : 42,734.22 = 16,820.24 : x
  2. Step 2: Convert to fraction form
    30,967.76/42,734.22 = 16,820.24/x
  3. Step 3: Cross multiply
    30,967.76x = 42,734.22 × 16,820.24
  4. Step 4: Simplify right side
    30,967.76x = 718,799,836.61
  5. Step 5: Solve for x
    x = 718,799,836.61/30,967.76
  6. Step 6: Final answer
    x = 23,211.23

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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.