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Finding the Fourth Proportional to 18,013, 24,857.46 and 10,055

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Solution

The fourth proportional to 18,013, 24,857.46 and 10,055 is: 13,875.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,013 : 24,857.46 = 10,055 : x
  2. Step 2: Convert to fraction form
    18,013/24,857.46 = 10,055/x
  3. Step 3: Cross multiply
    18,013x = 24,857.46 × 10,055
  4. Step 4: Simplify right side
    18,013x = 249,941,760.30
  5. Step 5: Solve for x
    x = 249,941,760.30/18,013
  6. Step 6: Final answer
    x = 13,875.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.