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Finding the Fourth Proportional to 12,890.50, 19,334.76 and 4,123.06

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Solution

The fourth proportional to 12,890.50, 19,334.76 and 4,123.06 is: 6,184.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,890.50 : 19,334.76 = 4,123.06 : x
  2. Step 2: Convert to fraction form
    12,890.50/19,334.76 = 4,123.06/x
  3. Step 3: Cross multiply
    12,890.50x = 19,334.76 × 4,123.06
  4. Step 4: Simplify right side
    12,890.50x = 79,718,375.57
  5. Step 5: Solve for x
    x = 79,718,375.57/12,890.50
  6. Step 6: Final answer
    x = 6,184.27

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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.