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Finding the Fourth Proportional to 24,464.16, 33,762.72 and 13,854.48

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Solution

The fourth proportional to 24,464.16, 33,762.72 and 13,854.48 is: 19,120.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,464.16 : 33,762.72 = 13,854.48 : x
  2. Step 2: Convert to fraction form
    24,464.16/33,762.72 = 13,854.48/x
  3. Step 3: Cross multiply
    24,464.16x = 33,762.72 × 13,854.48
  4. Step 4: Simplify right side
    24,464.16x = 467,764,928.99
  5. Step 5: Solve for x
    x = 467,764,928.99/24,464.16
  6. Step 6: Final answer
    x = 19,120.42

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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.