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Finding the Fourth Proportional to 12,074.48, 16,657.92 and 7,534.49

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Solution

The fourth proportional to 12,074.48, 16,657.92 and 7,534.49 is: 10,394.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,074.48 : 16,657.92 = 7,534.49 : x
  2. Step 2: Convert to fraction form
    12,074.48/16,657.92 = 7,534.49/x
  3. Step 3: Cross multiply
    12,074.48x = 16,657.92 × 7,534.49
  4. Step 4: Simplify right side
    12,074.48x = 125,508,848.37
  5. Step 5: Solve for x
    x = 125,508,848.37/12,074.48
  6. Step 6: Final answer
    x = 10,394.56

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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.