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Finding the Fourth Proportional to 19,829.50, 27,364.71 and 10,997.50

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Solution

The fourth proportional to 19,829.50, 27,364.71 and 10,997.50 is: 15,176.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,829.50 : 27,364.71 = 10,997.50 : x
  2. Step 2: Convert to fraction form
    19,829.50/27,364.71 = 10,997.50/x
  3. Step 3: Cross multiply
    19,829.50x = 27,364.71 × 10,997.50
  4. Step 4: Simplify right side
    19,829.50x = 300,943,398.23
  5. Step 5: Solve for x
    x = 300,943,398.23/19,829.50
  6. Step 6: Final answer
    x = 15,176.55

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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.