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Finding the Fourth Proportional to 13,953.92, 20,904.32 and 8,320

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Solution

The fourth proportional to 13,953.92, 20,904.32 and 8,320 is: 12,464.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,953.92 : 20,904.32 = 8,320 : x
  2. Step 2: Convert to fraction form
    13,953.92/20,904.32 = 8,320/x
  3. Step 3: Cross multiply
    13,953.92x = 20,904.32 × 8,320
  4. Step 4: Simplify right side
    13,953.92x = 173,923,942.40
  5. Step 5: Solve for x
    x = 173,923,942.40/13,953.92
  6. Step 6: Final answer
    x = 12,464.16

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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.