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Finding the Fourth Proportional to 12,781.68, 19,173.42 and 3,421.68

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Solution

The fourth proportional to 12,781.68, 19,173.42 and 3,421.68 is: 5,132.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,781.68 : 19,173.42 = 3,421.68 : x
  2. Step 2: Convert to fraction form
    12,781.68/19,173.42 = 3,421.68/x
  3. Step 3: Cross multiply
    12,781.68x = 19,173.42 × 3,421.68
  4. Step 4: Simplify right side
    12,781.68x = 65,605,307.75
  5. Step 5: Solve for x
    x = 65,605,307.75/12,781.68
  6. Step 6: Final answer
    x = 5,132.76

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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.