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Finding the Fourth Proportional to 19,181.90, 28,770.51 and 5,142.98

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Solution

The fourth proportional to 19,181.90, 28,770.51 and 5,142.98 is: 7,713.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,181.90 : 28,770.51 = 5,142.98 : x
  2. Step 2: Convert to fraction form
    19,181.90/28,770.51 = 5,142.98/x
  3. Step 3: Cross multiply
    19,181.90x = 28,770.51 × 5,142.98
  4. Step 4: Simplify right side
    19,181.90x = 147,966,157.52
  5. Step 5: Solve for x
    x = 147,966,157.52/19,181.90
  6. Step 6: Final answer
    x = 7,713.84

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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.