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Finding the Fourth Proportional to 30,866.82, 42,596 and 17,437.44

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Solution

The fourth proportional to 30,866.82, 42,596 and 17,437.44 is: 24,063.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,866.82 : 42,596 = 17,437.44 : x
  2. Step 2: Convert to fraction form
    30,866.82/42,596 = 17,437.44/x
  3. Step 3: Cross multiply
    30,866.82x = 42,596 × 17,437.44
  4. Step 4: Simplify right side
    30,866.82x = 742,765,194.24
  5. Step 5: Solve for x
    x = 742,765,194.24/30,866.82
  6. Step 6: Final answer
    x = 24,063.55

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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.