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Finding the Fourth Proportional to 14,693.92, 20,217.54 and 12,698.08

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Solution

The fourth proportional to 14,693.92, 20,217.54 and 12,698.08 is: 17,471.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,693.92 : 20,217.54 = 12,698.08 : x
  2. Step 2: Convert to fraction form
    14,693.92/20,217.54 = 12,698.08/x
  3. Step 3: Cross multiply
    14,693.92x = 20,217.54 × 12,698.08
  4. Step 4: Simplify right side
    14,693.92x = 256,723,940.32
  5. Step 5: Solve for x
    x = 256,723,940.32/14,693.92
  6. Step 6: Final answer
    x = 17,471.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.