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Finding the Fourth Proportional to 24,116.90, 33,283.09 and 14,559.14

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Solution

The fourth proportional to 24,116.90, 33,283.09 and 14,559.14 is: 20,092.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,116.90 : 33,283.09 = 14,559.14 : x
  2. Step 2: Convert to fraction form
    24,116.90/33,283.09 = 14,559.14/x
  3. Step 3: Cross multiply
    24,116.90x = 33,283.09 × 14,559.14
  4. Step 4: Simplify right side
    24,116.90x = 484,572,927.73
  5. Step 5: Solve for x
    x = 484,572,927.73/24,116.90
  6. Step 6: Final answer
    x = 20,092.67

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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.