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Finding the Fourth Proportional to 19,200.90, 28,749.42 and 9,947.46

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Solution

The fourth proportional to 19,200.90, 28,749.42 and 9,947.46 is: 14,894.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,200.90 : 28,749.42 = 9,947.46 : x
  2. Step 2: Convert to fraction form
    19,200.90/28,749.42 = 9,947.46/x
  3. Step 3: Cross multiply
    19,200.90x = 28,749.42 × 9,947.46
  4. Step 4: Simplify right side
    19,200.90x = 285,983,705.47
  5. Step 5: Solve for x
    x = 285,983,705.47/19,200.90
  6. Step 6: Final answer
    x = 14,894.29

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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.