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Finding the Fourth Proportional to 18,383.69, 27,580.40 and 9,616.25

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Solution

The fourth proportional to 18,383.69, 27,580.40 and 9,616.25 is: 14,426.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,383.69 : 27,580.40 = 9,616.25 : x
  2. Step 2: Convert to fraction form
    18,383.69/27,580.40 = 9,616.25/x
  3. Step 3: Cross multiply
    18,383.69x = 27,580.40 × 9,616.25
  4. Step 4: Simplify right side
    18,383.69x = 265,219,835.52
  5. Step 5: Solve for x
    x = 265,219,835.52/18,383.69
  6. Step 6: Final answer
    x = 14,426.91

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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.