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Finding the Fourth Proportional to 28,047, 38,705.34 and 18,128.28

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Solution

The fourth proportional to 28,047, 38,705.34 and 18,128.28 is: 25,017.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,047 : 38,705.34 = 18,128.28 : x
  2. Step 2: Convert to fraction form
    28,047/38,705.34 = 18,128.28/x
  3. Step 3: Cross multiply
    28,047x = 38,705.34 × 18,128.28
  4. Step 4: Simplify right side
    28,047x = 701,661,241.02
  5. Step 5: Solve for x
    x = 701,661,241.02/28,047
  6. Step 6: Final answer
    x = 25,017.34

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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.