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Finding the Fourth Proportional to 12,777.76, 19,166.80 and 4,457.96

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Solution

The fourth proportional to 12,777.76, 19,166.80 and 4,457.96 is: 6,687.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777.76 : 19,166.80 = 4,457.96 : x
  2. Step 2: Convert to fraction form
    12,777.76/19,166.80 = 4,457.96/x
  3. Step 3: Cross multiply
    12,777.76x = 19,166.80 × 4,457.96
  4. Step 4: Simplify right side
    12,777.76x = 85,444,827.73
  5. Step 5: Solve for x
    x = 85,444,827.73/12,777.76
  6. Step 6: Final answer
    x = 6,687.00

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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.