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Finding the Fourth Proportional to 13,671.40, 20,496.85 and 5,783.17

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Solution

The fourth proportional to 13,671.40, 20,496.85 and 5,783.17 is: 8,670.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,671.40 : 20,496.85 = 5,783.17 : x
  2. Step 2: Convert to fraction form
    13,671.40/20,496.85 = 5,783.17/x
  3. Step 3: Cross multiply
    13,671.40x = 20,496.85 × 5,783.17
  4. Step 4: Simplify right side
    13,671.40x = 118,536,768.01
  5. Step 5: Solve for x
    x = 118,536,768.01/13,671.40
  6. Step 6: Final answer
    x = 8,670.42

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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.