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Finding the Fourth Proportional to 30,866.20, 42,592.84 and 17,438.63

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Solution

The fourth proportional to 30,866.20, 42,592.84 and 17,438.63 is: 24,063.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,866.20 : 42,592.84 = 17,438.63 : x
  2. Step 2: Convert to fraction form
    30,866.20/42,592.84 = 17,438.63/x
  3. Step 3: Cross multiply
    30,866.20x = 42,592.84 × 17,438.63
  4. Step 4: Simplify right side
    30,866.20x = 742,760,520.85
  5. Step 5: Solve for x
    x = 742,760,520.85/30,866.20
  6. Step 6: Final answer
    x = 24,063.88

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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.