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Finding the Fourth Proportional to 20,002.47, 29,983.80 and 9,453.83

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Solution

The fourth proportional to 20,002.47, 29,983.80 and 9,453.83 is: 14,171.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,002.47 : 29,983.80 = 9,453.83 : x
  2. Step 2: Convert to fraction form
    20,002.47/29,983.80 = 9,453.83/x
  3. Step 3: Cross multiply
    20,002.47x = 29,983.80 × 9,453.83
  4. Step 4: Simplify right side
    20,002.47x = 283,461,598.04
  5. Step 5: Solve for x
    x = 283,461,598.04/20,002.47
  6. Step 6: Final answer
    x = 14,171.33

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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.