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Finding the Fourth Proportional to 24,464.40, 33,742.08 and 16,494

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Solution

The fourth proportional to 24,464.40, 33,742.08 and 16,494 is: 22,749.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,464.40 : 33,742.08 = 16,494 : x
  2. Step 2: Convert to fraction form
    24,464.40/33,742.08 = 16,494/x
  3. Step 3: Cross multiply
    24,464.40x = 33,742.08 × 16,494
  4. Step 4: Simplify right side
    24,464.40x = 556,541,867.52
  5. Step 5: Solve for x
    x = 556,541,867.52/24,464.40
  6. Step 6: Final answer
    x = 22,749.05

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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.