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Finding the Fourth Proportional to 30,966.83, 42,734.16 and 16,819.64

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Solution

The fourth proportional to 30,966.83, 42,734.16 and 16,819.64 is: 23,211.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,966.83 : 42,734.16 = 16,819.64 : x
  2. Step 2: Convert to fraction form
    30,966.83/42,734.16 = 16,819.64/x
  3. Step 3: Cross multiply
    30,966.83x = 42,734.16 × 16,819.64
  4. Step 4: Simplify right side
    30,966.83x = 718,772,973.23
  5. Step 5: Solve for x
    x = 718,772,973.23/30,966.83
  6. Step 6: Final answer
    x = 23,211.06

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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.