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Finding the Fourth Proportional to 13,725.96, 20,585.12 and 6,702.16

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Solution

The fourth proportional to 13,725.96, 20,585.12 and 6,702.16 is: 10,051.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,725.96 : 20,585.12 = 6,702.16 : x
  2. Step 2: Convert to fraction form
    13,725.96/20,585.12 = 6,702.16/x
  3. Step 3: Cross multiply
    13,725.96x = 20,585.12 × 6,702.16
  4. Step 4: Simplify right side
    13,725.96x = 137,964,767.86
  5. Step 5: Solve for x
    x = 137,964,767.86/13,725.96
  6. Step 6: Final answer
    x = 10,051.37

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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.