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Finding the Fourth Proportional to 13,978.50, 20,917.52 and 10,271.53

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Solution

The fourth proportional to 13,978.50, 20,917.52 and 10,271.53 is: 15,370.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.50 : 20,917.52 = 10,271.53 : x
  2. Step 2: Convert to fraction form
    13,978.50/20,917.52 = 10,271.53/x
  3. Step 3: Cross multiply
    13,978.50x = 20,917.52 × 10,271.53
  4. Step 4: Simplify right side
    13,978.50x = 214,854,934.21
  5. Step 5: Solve for x
    x = 214,854,934.21/13,978.50
  6. Step 6: Final answer
    x = 15,370.39

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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.