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Finding the Fourth Proportional to 14,971.69, 20,661.02 and 8,257.49

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Solution

The fourth proportional to 14,971.69, 20,661.02 and 8,257.49 is: 11,395.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,971.69 : 20,661.02 = 8,257.49 : x
  2. Step 2: Convert to fraction form
    14,971.69/20,661.02 = 8,257.49/x
  3. Step 3: Cross multiply
    14,971.69x = 20,661.02 × 8,257.49
  4. Step 4: Simplify right side
    14,971.69x = 170,608,292.56
  5. Step 5: Solve for x
    x = 170,608,292.56/14,971.69
  6. Step 6: Final answer
    x = 11,395.40

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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.