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Finding the Fourth Proportional to 13,415.54, 20,118.76 and 4,648.41

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Solution

The fourth proportional to 13,415.54, 20,118.76 and 4,648.41 is: 6,971.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415.54 : 20,118.76 = 4,648.41 : x
  2. Step 2: Convert to fraction form
    13,415.54/20,118.76 = 4,648.41/x
  3. Step 3: Cross multiply
    13,415.54x = 20,118.76 × 4,648.41
  4. Step 4: Simplify right side
    13,415.54x = 93,520,233.55
  5. Step 5: Solve for x
    x = 93,520,233.55/13,415.54
  6. Step 6: Final answer
    x = 6,971.04

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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.