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Finding the Fourth Proportional to 12,889.14, 19,294.80 and 11,657.13

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Solution

The fourth proportional to 12,889.14, 19,294.80 and 11,657.13 is: 17,450.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,889.14 : 19,294.80 = 11,657.13 : x
  2. Step 2: Convert to fraction form
    12,889.14/19,294.80 = 11,657.13/x
  3. Step 3: Cross multiply
    12,889.14x = 19,294.80 × 11,657.13
  4. Step 4: Simplify right side
    12,889.14x = 224,921,991.92
  5. Step 5: Solve for x
    x = 224,921,991.92/12,889.14
  6. Step 6: Final answer
    x = 17,450.50

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Why These Related Problems?

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