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Finding the Fourth Proportional to 18,286.50, 25,235.40 and 9,903

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Solution

The fourth proportional to 18,286.50, 25,235.40 and 9,903 is: 13,666.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,286.50 : 25,235.40 = 9,903 : x
  2. Step 2: Convert to fraction form
    18,286.50/25,235.40 = 9,903/x
  3. Step 3: Cross multiply
    18,286.50x = 25,235.40 × 9,903
  4. Step 4: Simplify right side
    18,286.50x = 249,906,166.20
  5. Step 5: Solve for x
    x = 249,906,166.20/18,286.50
  6. Step 6: Final answer
    x = 13,666.16

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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.