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Finding the Fourth Proportional to 19,142.20, 28,701.54 and 7,441.78

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Solution

The fourth proportional to 19,142.20, 28,701.54 and 7,441.78 is: 11,158.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,142.20 : 28,701.54 = 7,441.78 : x
  2. Step 2: Convert to fraction form
    19,142.20/28,701.54 = 7,441.78/x
  3. Step 3: Cross multiply
    19,142.20x = 28,701.54 × 7,441.78
  4. Step 4: Simplify right side
    19,142.20x = 213,590,546.34
  5. Step 5: Solve for x
    x = 213,590,546.34/19,142.20
  6. Step 6: Final answer
    x = 11,158.10

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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.