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Finding the Fourth Proportional to 12,311.46, 16,988.94 and 9,665.19

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Solution

The fourth proportional to 12,311.46, 16,988.94 and 9,665.19 is: 13,337.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,311.46 : 16,988.94 = 9,665.19 : x
  2. Step 2: Convert to fraction form
    12,311.46/16,988.94 = 9,665.19/x
  3. Step 3: Cross multiply
    12,311.46x = 16,988.94 × 9,665.19
  4. Step 4: Simplify right side
    12,311.46x = 164,201,333.00
  5. Step 5: Solve for x
    x = 164,201,333.00/12,311.46
  6. Step 6: Final answer
    x = 13,337.28

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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.