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Finding the Fourth Proportional to 18,852.68, 28,282.66 and 7,164.98

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Solution

The fourth proportional to 18,852.68, 28,282.66 and 7,164.98 is: 10,748.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,852.68 : 28,282.66 = 7,164.98 : x
  2. Step 2: Convert to fraction form
    18,852.68/28,282.66 = 7,164.98/x
  3. Step 3: Cross multiply
    18,852.68x = 28,282.66 × 7,164.98
  4. Step 4: Simplify right side
    18,852.68x = 202,644,825.94
  5. Step 5: Solve for x
    x = 202,644,825.94/18,852.68
  6. Step 6: Final answer
    x = 10,748.86

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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.