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Finding the Fourth Proportional to 13,729.84, 20,594.80 and 3,341.52

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Solution

The fourth proportional to 13,729.84, 20,594.80 and 3,341.52 is: 5,012.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,729.84 : 20,594.80 = 3,341.52 : x
  2. Step 2: Convert to fraction form
    13,729.84/20,594.80 = 3,341.52/x
  3. Step 3: Cross multiply
    13,729.84x = 20,594.80 × 3,341.52
  4. Step 4: Simplify right side
    13,729.84x = 68,817,936.10
  5. Step 5: Solve for x
    x = 68,817,936.10/13,729.84
  6. Step 6: Final answer
    x = 5,012.29

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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.