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Finding the Fourth Proportional to 24,467.34, 33,765.73 and 13,856.74

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Solution

The fourth proportional to 24,467.34, 33,765.73 and 13,856.74 is: 19,122.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,467.34 : 33,765.73 = 13,856.74 : x
  2. Step 2: Convert to fraction form
    24,467.34/33,765.73 = 13,856.74/x
  3. Step 3: Cross multiply
    24,467.34x = 33,765.73 × 13,856.74
  4. Step 4: Simplify right side
    24,467.34x = 467,882,941.52
  5. Step 5: Solve for x
    x = 467,882,941.52/24,467.34
  6. Step 6: Final answer
    x = 19,122.75

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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.