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Finding the Fourth Proportional to 13,594.60, 20,399.84 and 5,696.44

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Solution

The fourth proportional to 13,594.60, 20,399.84 and 5,696.44 is: 8,547.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,594.60 : 20,399.84 = 5,696.44 : x
  2. Step 2: Convert to fraction form
    13,594.60/20,399.84 = 5,696.44/x
  3. Step 3: Cross multiply
    13,594.60x = 20,399.84 × 5,696.44
  4. Step 4: Simplify right side
    13,594.60x = 116,206,334.09
  5. Step 5: Solve for x
    x = 116,206,334.09/13,594.60
  6. Step 6: Final answer
    x = 8,547.98

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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.