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Finding the Fourth Proportional to 16,270.86, 22,449.48 and 9,554.34

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Solution

The fourth proportional to 16,270.86, 22,449.48 and 9,554.34 is: 13,182.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,270.86 : 22,449.48 = 9,554.34 : x
  2. Step 2: Convert to fraction form
    16,270.86/22,449.48 = 9,554.34/x
  3. Step 3: Cross multiply
    16,270.86x = 22,449.48 × 9,554.34
  4. Step 4: Simplify right side
    16,270.86x = 214,489,964.74
  5. Step 5: Solve for x
    x = 214,489,964.74/16,270.86
  6. Step 6: Final answer
    x = 13,182.46

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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.