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Finding the Fourth Proportional to 13,420.52, 18,539 and 12,764.44

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Solution

The fourth proportional to 13,420.52, 18,539 and 12,764.44 is: 17,632.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420.52 : 18,539 = 12,764.44 : x
  2. Step 2: Convert to fraction form
    13,420.52/18,539 = 12,764.44/x
  3. Step 3: Cross multiply
    13,420.52x = 18,539 × 12,764.44
  4. Step 4: Simplify right side
    13,420.52x = 236,639,953.16
  5. Step 5: Solve for x
    x = 236,639,953.16/13,420.52
  6. Step 6: Final answer
    x = 17,632.70

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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.