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Finding the Fourth Proportional to 19,056.96, 28,591.20 and 9,194.40

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Solution

The fourth proportional to 19,056.96, 28,591.20 and 9,194.40 is: 13,794.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,056.96 : 28,591.20 = 9,194.40 : x
  2. Step 2: Convert to fraction form
    19,056.96/28,591.20 = 9,194.40/x
  3. Step 3: Cross multiply
    19,056.96x = 28,591.20 × 9,194.40
  4. Step 4: Simplify right side
    19,056.96x = 262,878,929.28
  5. Step 5: Solve for x
    x = 262,878,929.28/19,056.96
  6. Step 6: Final answer
    x = 13,794.38

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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.