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Finding the Fourth Proportional to 13,893, 19,172.36 and 7,605.39

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Solution

The fourth proportional to 13,893, 19,172.36 and 7,605.39 is: 10,495.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,893 : 19,172.36 = 7,605.39 : x
  2. Step 2: Convert to fraction form
    13,893/19,172.36 = 7,605.39/x
  3. Step 3: Cross multiply
    13,893x = 19,172.36 × 7,605.39
  4. Step 4: Simplify right side
    13,893x = 145,813,236.99
  5. Step 5: Solve for x
    x = 145,813,236.99/13,893
  6. Step 6: Final answer
    x = 10,495.45

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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.