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Finding the Fourth Proportional to 19,604, 27,053.52 and 10,772

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Solution

The fourth proportional to 19,604, 27,053.52 and 10,772 is: 14,865.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,604 : 27,053.52 = 10,772 : x
  2. Step 2: Convert to fraction form
    19,604/27,053.52 = 10,772/x
  3. Step 3: Cross multiply
    19,604x = 27,053.52 × 10,772
  4. Step 4: Simplify right side
    19,604x = 291,420,517.44
  5. Step 5: Solve for x
    x = 291,420,517.44/19,604
  6. Step 6: Final answer
    x = 14,865.36

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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.