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Finding the Fourth Proportional to 23,858.78, 32,922 and 13,246.36

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Solution

The fourth proportional to 23,858.78, 32,922 and 13,246.36 is: 18,278.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,858.78 : 32,922 = 13,246.36 : x
  2. Step 2: Convert to fraction form
    23,858.78/32,922 = 13,246.36/x
  3. Step 3: Cross multiply
    23,858.78x = 32,922 × 13,246.36
  4. Step 4: Simplify right side
    23,858.78x = 436,096,581.62
  5. Step 5: Solve for x
    x = 436,096,581.62/23,858.78
  6. Step 6: Final answer
    x = 18,278.25

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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.