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Finding the Fourth Proportional to 17,412, 24,028.50 and 9,858.18

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Solution

The fourth proportional to 17,412, 24,028.50 and 9,858.18 is: 13,604.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,412 : 24,028.50 = 9,858.18 : x
  2. Step 2: Convert to fraction form
    17,412/24,028.50 = 9,858.18/x
  3. Step 3: Cross multiply
    17,412x = 24,028.50 × 9,858.18
  4. Step 4: Simplify right side
    17,412x = 236,877,278.13
  5. Step 5: Solve for x
    x = 236,877,278.13/17,412
  6. Step 6: Final answer
    x = 13,604.25

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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.