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Finding the Fourth Proportional to 13,773.23, 19,006.99 and 7,806.03

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Solution

The fourth proportional to 13,773.23, 19,006.99 and 7,806.03 is: 10,772.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,773.23 : 19,006.99 = 7,806.03 : x
  2. Step 2: Convert to fraction form
    13,773.23/19,006.99 = 7,806.03/x
  3. Step 3: Cross multiply
    13,773.23x = 19,006.99 × 7,806.03
  4. Step 4: Simplify right side
    13,773.23x = 148,369,114.63
  5. Step 5: Solve for x
    x = 148,369,114.63/13,773.23
  6. Step 6: Final answer
    x = 10,772.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.