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Finding the Fourth Proportional to 17,858.16, 24,645.24 and 12,193.80

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Solution

The fourth proportional to 17,858.16, 24,645.24 and 12,193.80 is: 16,828.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,858.16 : 24,645.24 = 12,193.80 : x
  2. Step 2: Convert to fraction form
    17,858.16/24,645.24 = 12,193.80/x
  3. Step 3: Cross multiply
    17,858.16x = 24,645.24 × 12,193.80
  4. Step 4: Simplify right side
    17,858.16x = 300,519,127.51
  5. Step 5: Solve for x
    x = 300,519,127.51/17,858.16
  6. Step 6: Final answer
    x = 16,828.11

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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.