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Finding the Fourth Proportional to 12,777.68, 19,168.96 and 4,460.07

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Solution

The fourth proportional to 12,777.68, 19,168.96 and 4,460.07 is: 6,690.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777.68 : 19,168.96 = 4,460.07 : x
  2. Step 2: Convert to fraction form
    12,777.68/19,168.96 = 4,460.07/x
  3. Step 3: Cross multiply
    12,777.68x = 19,168.96 × 4,460.07
  4. Step 4: Simplify right side
    12,777.68x = 85,494,881.13
  5. Step 5: Solve for x
    x = 85,494,881.13/12,777.68
  6. Step 6: Final answer
    x = 6,690.95

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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.