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Finding the Fourth Proportional to 24,642.31, 33,994.53 and 16,140.75

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Solution

The fourth proportional to 24,642.31, 33,994.53 and 16,140.75 is: 22,266.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,642.31 : 33,994.53 = 16,140.75 : x
  2. Step 2: Convert to fraction form
    24,642.31/33,994.53 = 16,140.75/x
  3. Step 3: Cross multiply
    24,642.31x = 33,994.53 × 16,140.75
  4. Step 4: Simplify right side
    24,642.31x = 548,697,210.10
  5. Step 5: Solve for x
    x = 548,697,210.10/24,642.31
  6. Step 6: Final answer
    x = 22,266.47

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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.