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Finding the Fourth Proportional to 13,078.80, 19,607.10 and 5,677.68

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Solution

The fourth proportional to 13,078.80, 19,607.10 and 5,677.68 is: 8,511.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.80 : 19,607.10 = 5,677.68 : x
  2. Step 2: Convert to fraction form
    13,078.80/19,607.10 = 5,677.68/x
  3. Step 3: Cross multiply
    13,078.80x = 19,607.10 × 5,677.68
  4. Step 4: Simplify right side
    13,078.80x = 111,322,839.53
  5. Step 5: Solve for x
    x = 111,322,839.53/13,078.80
  6. Step 6: Final answer
    x = 8,511.70

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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.