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Finding the Fourth Proportional to 16,971.84, 23,421.12 and 9,519.84

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Solution

The fourth proportional to 16,971.84, 23,421.12 and 9,519.84 is: 13,137.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,971.84 : 23,421.12 = 9,519.84 : x
  2. Step 2: Convert to fraction form
    16,971.84/23,421.12 = 9,519.84/x
  3. Step 3: Cross multiply
    16,971.84x = 23,421.12 × 9,519.84
  4. Step 4: Simplify right side
    16,971.84x = 222,965,315.02
  5. Step 5: Solve for x
    x = 222,965,315.02/16,971.84
  6. Step 6: Final answer
    x = 13,137.37

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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.