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Finding the Fourth Proportional to 18,853.80, 28,284.34 and 7,166.11

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Solution

The fourth proportional to 18,853.80, 28,284.34 and 7,166.11 is: 10,750.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,853.80 : 28,284.34 = 7,166.11 : x
  2. Step 2: Convert to fraction form
    18,853.80/28,284.34 = 7,166.11/x
  3. Step 3: Cross multiply
    18,853.80x = 28,284.34 × 7,166.11
  4. Step 4: Simplify right side
    18,853.80x = 202,688,514.47
  5. Step 5: Solve for x
    x = 202,688,514.47/18,853.80
  6. Step 6: Final answer
    x = 10,750.54

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