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Finding the Fourth Proportional to 19,200.30, 28,800.45 and 5,349.30

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Solution

The fourth proportional to 19,200.30, 28,800.45 and 5,349.30 is: 8,023.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,200.30 : 28,800.45 = 5,349.30 : x
  2. Step 2: Convert to fraction form
    19,200.30/28,800.45 = 5,349.30/x
  3. Step 3: Cross multiply
    19,200.30x = 28,800.45 × 5,349.30
  4. Step 4: Simplify right side
    19,200.30x = 154,062,247.19
  5. Step 5: Solve for x
    x = 154,062,247.19/19,200.30
  6. Step 6: Final answer
    x = 8,023.95

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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.