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Finding the Fourth Proportional to 19,936.50, 27,513.62 and 10,984

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Solution

The fourth proportional to 19,936.50, 27,513.62 and 10,984 is: 15,158.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,936.50 : 27,513.62 = 10,984 : x
  2. Step 2: Convert to fraction form
    19,936.50/27,513.62 = 10,984/x
  3. Step 3: Cross multiply
    19,936.50x = 27,513.62 × 10,984
  4. Step 4: Simplify right side
    19,936.50x = 302,209,602.08
  5. Step 5: Solve for x
    x = 302,209,602.08/19,936.50
  6. Step 6: Final answer
    x = 15,158.61

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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.