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Finding the Fourth Proportional to 19,200.24, 28,801.44 and 5,349.24

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Solution

The fourth proportional to 19,200.24, 28,801.44 and 5,349.24 is: 8,024.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,200.24 : 28,801.44 = 5,349.24 : x
  2. Step 2: Convert to fraction form
    19,200.24/28,801.44 = 5,349.24/x
  3. Step 3: Cross multiply
    19,200.24x = 28,801.44 × 5,349.24
  4. Step 4: Simplify right side
    19,200.24x = 154,065,814.91
  5. Step 5: Solve for x
    x = 154,065,814.91/19,200.24
  6. Step 6: Final answer
    x = 8,024.16

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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.