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Finding the Fourth Proportional to 14,211.84, 21,317.94 and 11,576.30

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Solution

The fourth proportional to 14,211.84, 21,317.94 and 11,576.30 is: 17,364.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,211.84 : 21,317.94 = 11,576.30 : x
  2. Step 2: Convert to fraction form
    14,211.84/21,317.94 = 11,576.30/x
  3. Step 3: Cross multiply
    14,211.84x = 21,317.94 × 11,576.30
  4. Step 4: Simplify right side
    14,211.84x = 246,782,868.82
  5. Step 5: Solve for x
    x = 246,782,868.82/14,211.84
  6. Step 6: Final answer
    x = 17,364.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.