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Finding the Fourth Proportional to 14,223.84, 19,612.44 and 11,696.64

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Solution

The fourth proportional to 14,223.84, 19,612.44 and 11,696.64 is: 16,127.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,223.84 : 19,612.44 = 11,696.64 : x
  2. Step 2: Convert to fraction form
    14,223.84/19,612.44 = 11,696.64/x
  3. Step 3: Cross multiply
    14,223.84x = 19,612.44 × 11,696.64
  4. Step 4: Simplify right side
    14,223.84x = 229,399,650.20
  5. Step 5: Solve for x
    x = 229,399,650.20/14,223.84
  6. Step 6: Final answer
    x = 16,127.83

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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.