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Finding the Fourth Proportional to 24,539.84, 33,860.46 and 14,471.48

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Solution

The fourth proportional to 24,539.84, 33,860.46 and 14,471.48 is: 19,967.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,539.84 : 33,860.46 = 14,471.48 : x
  2. Step 2: Convert to fraction form
    24,539.84/33,860.46 = 14,471.48/x
  3. Step 3: Cross multiply
    24,539.84x = 33,860.46 × 14,471.48
  4. Step 4: Simplify right side
    24,539.84x = 490,010,969.68
  5. Step 5: Solve for x
    x = 490,010,969.68/24,539.84
  6. Step 6: Final answer
    x = 19,967.98

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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.