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Finding the Fourth Proportional to 12,258.96, 16,914.80 and 7,777.44

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Solution

The fourth proportional to 12,258.96, 16,914.80 and 7,777.44 is: 10,731.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,258.96 : 16,914.80 = 7,777.44 : x
  2. Step 2: Convert to fraction form
    12,258.96/16,914.80 = 7,777.44/x
  3. Step 3: Cross multiply
    12,258.96x = 16,914.80 × 7,777.44
  4. Step 4: Simplify right side
    12,258.96x = 131,553,842.11
  5. Step 5: Solve for x
    x = 131,553,842.11/12,258.96
  6. Step 6: Final answer
    x = 10,731.24

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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.