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Finding the Fourth Proportional to 12,889.36, 19,314.36 and 9,586.48

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Solution

The fourth proportional to 12,889.36, 19,314.36 and 9,586.48 is: 14,365.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,889.36 : 19,314.36 = 9,586.48 : x
  2. Step 2: Convert to fraction form
    12,889.36/19,314.36 = 9,586.48/x
  3. Step 3: Cross multiply
    12,889.36x = 19,314.36 × 9,586.48
  4. Step 4: Simplify right side
    12,889.36x = 185,156,725.85
  5. Step 5: Solve for x
    x = 185,156,725.85/12,889.36
  6. Step 6: Final answer
    x = 14,365.08

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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.