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Finding the Fourth Proportional to 12,912.58, 19,366.32 and 5,890.50

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Solution

The fourth proportional to 12,912.58, 19,366.32 and 5,890.50 is: 8,834.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,912.58 : 19,366.32 = 5,890.50 : x
  2. Step 2: Convert to fraction form
    12,912.58/19,366.32 = 5,890.50/x
  3. Step 3: Cross multiply
    12,912.58x = 19,366.32 × 5,890.50
  4. Step 4: Simplify right side
    12,912.58x = 114,077,307.96
  5. Step 5: Solve for x
    x = 114,077,307.96/12,912.58
  6. Step 6: Final answer
    x = 8,834.59

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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.