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Finding the Fourth Proportional to 13,135.95, 19,671.89 and 6,901.19

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Solution

The fourth proportional to 13,135.95, 19,671.89 and 6,901.19 is: 10,334.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,135.95 : 19,671.89 = 6,901.19 : x
  2. Step 2: Convert to fraction form
    13,135.95/19,671.89 = 6,901.19/x
  3. Step 3: Cross multiply
    13,135.95x = 19,671.89 × 6,901.19
  4. Step 4: Simplify right side
    13,135.95x = 135,759,317.68
  5. Step 5: Solve for x
    x = 135,759,317.68/13,135.95
  6. Step 6: Final answer
    x = 10,334.94

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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.