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Finding the Fourth Proportional to 30,964.24, 42,731.04 and 16,817.32

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Solution

The fourth proportional to 30,964.24, 42,731.04 and 16,817.32 is: 23,208.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,964.24 : 42,731.04 = 16,817.32 : x
  2. Step 2: Convert to fraction form
    30,964.24/42,731.04 = 16,817.32/x
  3. Step 3: Cross multiply
    30,964.24x = 42,731.04 × 16,817.32
  4. Step 4: Simplify right side
    30,964.24x = 718,621,573.61
  5. Step 5: Solve for x
    x = 718,621,573.61/30,964.24
  6. Step 6: Final answer
    x = 23,208.11

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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.