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Finding the Fourth Proportional to 18,577.66, 27,865.77 and 4,727.02

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Solution

The fourth proportional to 18,577.66, 27,865.77 and 4,727.02 is: 7,090.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,577.66 : 27,865.77 = 4,727.02 : x
  2. Step 2: Convert to fraction form
    18,577.66/27,865.77 = 4,727.02/x
  3. Step 3: Cross multiply
    18,577.66x = 27,865.77 × 4,727.02
  4. Step 4: Simplify right side
    18,577.66x = 131,722,052.11
  5. Step 5: Solve for x
    x = 131,722,052.11/18,577.66
  6. Step 6: Final answer
    x = 7,090.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.