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Finding the Fourth Proportional to 12,770.16, 19,155.84 and 3,410.40

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Solution

The fourth proportional to 12,770.16, 19,155.84 and 3,410.40 is: 5,115.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,770.16 : 19,155.84 = 3,410.40 : x
  2. Step 2: Convert to fraction form
    12,770.16/19,155.84 = 3,410.40/x
  3. Step 3: Cross multiply
    12,770.16x = 19,155.84 × 3,410.40
  4. Step 4: Simplify right side
    12,770.16x = 65,329,076.74
  5. Step 5: Solve for x
    x = 65,329,076.74/12,770.16
  6. Step 6: Final answer
    x = 5,115.76

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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.