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Finding the Fourth Proportional to 16,965.99, 23,412.78 and 9,412.29

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Solution

The fourth proportional to 16,965.99, 23,412.78 and 9,412.29 is: 12,988.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,965.99 : 23,412.78 = 9,412.29 : x
  2. Step 2: Convert to fraction form
    16,965.99/23,412.78 = 9,412.29/x
  3. Step 3: Cross multiply
    16,965.99x = 23,412.78 × 9,412.29
  4. Step 4: Simplify right side
    16,965.99x = 220,367,875.07
  5. Step 5: Solve for x
    x = 220,367,875.07/16,965.99
  6. Step 6: Final answer
    x = 12,988.80

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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.