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Finding the Fourth Proportional to 13,728.38, 18,946.65 and 7,680.81

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Solution

The fourth proportional to 13,728.38, 18,946.65 and 7,680.81 is: 10,600.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728.38 : 18,946.65 = 7,680.81 : x
  2. Step 2: Convert to fraction form
    13,728.38/18,946.65 = 7,680.81/x
  3. Step 3: Cross multiply
    13,728.38x = 18,946.65 × 7,680.81
  4. Step 4: Simplify right side
    13,728.38x = 145,525,618.79
  5. Step 5: Solve for x
    x = 145,525,618.79/13,728.38
  6. Step 6: Final answer
    x = 10,600.35

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Why These Related Problems?

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