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Finding the Fourth Proportional to 19,200.42, 28,780.38 and 7,184.34

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Solution

The fourth proportional to 19,200.42, 28,780.38 and 7,184.34 is: 10,768.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,200.42 : 28,780.38 = 7,184.34 : x
  2. Step 2: Convert to fraction form
    19,200.42/28,780.38 = 7,184.34/x
  3. Step 3: Cross multiply
    19,200.42x = 28,780.38 × 7,184.34
  4. Step 4: Simplify right side
    19,200.42x = 206,768,035.25
  5. Step 5: Solve for x
    x = 206,768,035.25/19,200.42
  6. Step 6: Final answer
    x = 10,768.93

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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.