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Finding the Fourth Proportional to 18,583.08, 27,877.08 and 9,818.34

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Solution

The fourth proportional to 18,583.08, 27,877.08 and 9,818.34 is: 14,728.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,583.08 : 27,877.08 = 9,818.34 : x
  2. Step 2: Convert to fraction form
    18,583.08/27,877.08 = 9,818.34/x
  3. Step 3: Cross multiply
    18,583.08x = 27,877.08 × 9,818.34
  4. Step 4: Simplify right side
    18,583.08x = 273,706,649.65
  5. Step 5: Solve for x
    x = 273,706,649.65/18,583.08
  6. Step 6: Final answer
    x = 14,728.81

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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.