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Finding the Fourth Proportional to 16,965.96, 23,412.98 and 9,514.12

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Solution

The fourth proportional to 16,965.96, 23,412.98 and 9,514.12 is: 13,129.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,965.96 : 23,412.98 = 9,514.12 : x
  2. Step 2: Convert to fraction form
    16,965.96/23,412.98 = 9,514.12/x
  3. Step 3: Cross multiply
    16,965.96x = 23,412.98 × 9,514.12
  4. Step 4: Simplify right side
    16,965.96x = 222,753,901.28
  5. Step 5: Solve for x
    x = 222,753,901.28/16,965.96
  6. Step 6: Final answer
    x = 13,129.46

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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.