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Finding the Fourth Proportional to 13,809.60, 19,056.96 and 8,222.40

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Solution

The fourth proportional to 13,809.60, 19,056.96 and 8,222.40 is: 11,346.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,809.60 : 19,056.96 = 8,222.40 : x
  2. Step 2: Convert to fraction form
    13,809.60/19,056.96 = 8,222.40/x
  3. Step 3: Cross multiply
    13,809.60x = 19,056.96 × 8,222.40
  4. Step 4: Simplify right side
    13,809.60x = 156,693,947.90
  5. Step 5: Solve for x
    x = 156,693,947.90/13,809.60
  6. Step 6: Final answer
    x = 11,346.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.