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Finding the Fourth Proportional to 13,725.93, 20,594.31 and 5,830.20

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Solution

The fourth proportional to 13,725.93, 20,594.31 and 5,830.20 is: 8,747.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,725.93 : 20,594.31 = 5,830.20 : x
  2. Step 2: Convert to fraction form
    13,725.93/20,594.31 = 5,830.20/x
  3. Step 3: Cross multiply
    13,725.93x = 20,594.31 × 5,830.20
  4. Step 4: Simplify right side
    13,725.93x = 120,068,946.16
  5. Step 5: Solve for x
    x = 120,068,946.16/13,725.93
  6. Step 6: Final answer
    x = 8,747.60

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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.