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Finding the Fourth Proportional to 24,377.74, 33,641.34 and 13,199.74

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Solution

The fourth proportional to 24,377.74, 33,641.34 and 13,199.74 is: 18,215.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,377.74 : 33,641.34 = 13,199.74 : x
  2. Step 2: Convert to fraction form
    24,377.74/33,641.34 = 13,199.74/x
  3. Step 3: Cross multiply
    24,377.74x = 33,641.34 × 13,199.74
  4. Step 4: Simplify right side
    24,377.74x = 444,056,941.25
  5. Step 5: Solve for x
    x = 444,056,941.25/24,377.74
  6. Step 6: Final answer
    x = 18,215.67

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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.