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Finding the Fourth Proportional to 16,965.96, 23,412.81 and 9,412.10

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Solution

The fourth proportional to 16,965.96, 23,412.81 and 9,412.10 is: 12,988.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,965.96 : 23,412.81 = 9,412.10 : x
  2. Step 2: Convert to fraction form
    16,965.96/23,412.81 = 9,412.10/x
  3. Step 3: Cross multiply
    16,965.96x = 23,412.81 × 9,412.10
  4. Step 4: Simplify right side
    16,965.96x = 220,363,715.03
  5. Step 5: Solve for x
    x = 220,363,715.03/16,965.96
  6. Step 6: Final answer
    x = 12,988.58

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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.