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Finding the Fourth Proportional to 19,077.28, 28,622.80 and 8,546.40

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Solution

The fourth proportional to 19,077.28, 28,622.80 and 8,546.40 is: 12,822.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,077.28 : 28,622.80 = 8,546.40 : x
  2. Step 2: Convert to fraction form
    19,077.28/28,622.80 = 8,546.40/x
  3. Step 3: Cross multiply
    19,077.28x = 28,622.80 × 8,546.40
  4. Step 4: Simplify right side
    19,077.28x = 244,621,897.92
  5. Step 5: Solve for x
    x = 244,621,897.92/19,077.28
  6. Step 6: Final answer
    x = 12,822.68

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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.