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Finding the Fourth Proportional to 13,983.60, 20,975.40 and 6,585.60

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Solution

The fourth proportional to 13,983.60, 20,975.40 and 6,585.60 is: 9,878.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,983.60 : 20,975.40 = 6,585.60 : x
  2. Step 2: Convert to fraction form
    13,983.60/20,975.40 = 6,585.60/x
  3. Step 3: Cross multiply
    13,983.60x = 20,975.40 × 6,585.60
  4. Step 4: Simplify right side
    13,983.60x = 138,135,594.24
  5. Step 5: Solve for x
    x = 138,135,594.24/13,983.60
  6. Step 6: Final answer
    x = 9,878.40

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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.