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Finding the Fourth Proportional to 13,809.47, 20,725.14 and 6,023.75

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Solution

The fourth proportional to 13,809.47, 20,725.14 and 6,023.75 is: 9,040.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,809.47 : 20,725.14 = 6,023.75 : x
  2. Step 2: Convert to fraction form
    13,809.47/20,725.14 = 6,023.75/x
  3. Step 3: Cross multiply
    13,809.47x = 20,725.14 × 6,023.75
  4. Step 4: Simplify right side
    13,809.47x = 124,843,062.08
  5. Step 5: Solve for x
    x = 124,843,062.08/13,809.47
  6. Step 6: Final answer
    x = 9,040.39

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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.