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Finding the Fourth Proportional to 13,454.78, 20,165.54 and 4,679.46

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Solution

The fourth proportional to 13,454.78, 20,165.54 and 4,679.46 is: 7,013.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,454.78 : 20,165.54 = 4,679.46 : x
  2. Step 2: Convert to fraction form
    13,454.78/20,165.54 = 4,679.46/x
  3. Step 3: Cross multiply
    13,454.78x = 20,165.54 × 4,679.46
  4. Step 4: Simplify right side
    13,454.78x = 94,363,814.41
  5. Step 5: Solve for x
    x = 94,363,814.41/13,454.78
  6. Step 6: Final answer
    x = 7,013.41

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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.