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Finding the Fourth Proportional to 24,942.32, 34,420.52 and 13,764.32

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Solution

The fourth proportional to 24,942.32, 34,420.52 and 13,764.32 is: 18,994.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,942.32 : 34,420.52 = 13,764.32 : x
  2. Step 2: Convert to fraction form
    24,942.32/34,420.52 = 13,764.32/x
  3. Step 3: Cross multiply
    24,942.32x = 34,420.52 × 13,764.32
  4. Step 4: Simplify right side
    24,942.32x = 473,775,051.85
  5. Step 5: Solve for x
    x = 473,775,051.85/24,942.32
  6. Step 6: Final answer
    x = 18,994.83

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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.