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Finding the Fourth Proportional to 23,762.82, 35,633.22 and 13,374.56

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Solution

The fourth proportional to 23,762.82, 35,633.22 and 13,374.56 is: 20,055.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,762.82 : 35,633.22 = 13,374.56 : x
  2. Step 2: Convert to fraction form
    23,762.82/35,633.22 = 13,374.56/x
  3. Step 3: Cross multiply
    23,762.82x = 35,633.22 × 13,374.56
  4. Step 4: Simplify right side
    23,762.82x = 476,578,638.88
  5. Step 5: Solve for x
    x = 476,578,638.88/23,762.82
  6. Step 6: Final answer
    x = 20,055.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.