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Finding the Fourth Proportional to 19,142.84, 28,715.90 and 5,291.80

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Solution

The fourth proportional to 19,142.84, 28,715.90 and 5,291.80 is: 7,938.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,142.84 : 28,715.90 = 5,291.80 : x
  2. Step 2: Convert to fraction form
    19,142.84/28,715.90 = 5,291.80/x
  3. Step 3: Cross multiply
    19,142.84x = 28,715.90 × 5,291.80
  4. Step 4: Simplify right side
    19,142.84x = 151,958,799.62
  5. Step 5: Solve for x
    x = 151,958,799.62/19,142.84
  6. Step 6: Final answer
    x = 7,938.15

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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.