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Finding the Fourth Proportional to 12,889.30, 19,295.04 and 11,657.28

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Solution

The fourth proportional to 12,889.30, 19,295.04 and 11,657.28 is: 17,450.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,889.30 : 19,295.04 = 11,657.28 : x
  2. Step 2: Convert to fraction form
    12,889.30/19,295.04 = 11,657.28/x
  3. Step 3: Cross multiply
    12,889.30x = 19,295.04 × 11,657.28
  4. Step 4: Simplify right side
    12,889.30x = 224,927,683.89
  5. Step 5: Solve for x
    x = 224,927,683.89/12,889.30
  6. Step 6: Final answer
    x = 17,450.73

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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.