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Finding the Fourth Proportional to 20,382.50, 27,977.80 and 18,094.35

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Solution

The fourth proportional to 20,382.50, 27,977.80 and 18,094.35 is: 24,837.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,382.50 : 27,977.80 = 18,094.35 : x
  2. Step 2: Convert to fraction form
    20,382.50/27,977.80 = 18,094.35/x
  3. Step 3: Cross multiply
    20,382.50x = 27,977.80 × 18,094.35
  4. Step 4: Simplify right side
    20,382.50x = 506,240,011.03
  5. Step 5: Solve for x
    x = 506,240,011.03/20,382.50
  6. Step 6: Final answer
    x = 24,837.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.