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Finding the Fourth Proportional to 18,283.64, 25,231.38 and 9,900.14

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Solution

The fourth proportional to 18,283.64, 25,231.38 and 9,900.14 is: 13,662.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,283.64 : 25,231.38 = 9,900.14 : x
  2. Step 2: Convert to fraction form
    18,283.64/25,231.38 = 9,900.14/x
  3. Step 3: Cross multiply
    18,283.64x = 25,231.38 × 9,900.14
  4. Step 4: Simplify right side
    18,283.64x = 249,794,194.39
  5. Step 5: Solve for x
    x = 249,794,194.39/18,283.64
  6. Step 6: Final answer
    x = 13,662.17

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Why These Related Problems?

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