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Finding the Fourth Proportional to 12,852.36, 17,728.38 and 11,355.48

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Solution

The fourth proportional to 12,852.36, 17,728.38 and 11,355.48 is: 15,663.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,852.36 : 17,728.38 = 11,355.48 : x
  2. Step 2: Convert to fraction form
    12,852.36/17,728.38 = 11,355.48/x
  3. Step 3: Cross multiply
    12,852.36x = 17,728.38 × 11,355.48
  4. Step 4: Simplify right side
    12,852.36x = 201,314,264.52
  5. Step 5: Solve for x
    x = 201,314,264.52/12,852.36
  6. Step 6: Final answer
    x = 15,663.60

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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.