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Finding the Fourth Proportional to 13,385.92, 20,072.40 and 4,617.76

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Solution

The fourth proportional to 13,385.92, 20,072.40 and 4,617.76 is: 6,924.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,385.92 : 20,072.40 = 4,617.76 : x
  2. Step 2: Convert to fraction form
    13,385.92/20,072.40 = 4,617.76/x
  3. Step 3: Cross multiply
    13,385.92x = 20,072.40 × 4,617.76
  4. Step 4: Simplify right side
    13,385.92x = 92,689,525.82
  5. Step 5: Solve for x
    x = 92,689,525.82/13,385.92
  6. Step 6: Final answer
    x = 6,924.40

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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.