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Finding the Fourth Proportional to 14,480.68, 20,004.42 and 9,785.56

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Solution

The fourth proportional to 14,480.68, 20,004.42 and 9,785.56 is: 13,518.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,480.68 : 20,004.42 = 9,785.56 : x
  2. Step 2: Convert to fraction form
    14,480.68/20,004.42 = 9,785.56/x
  3. Step 3: Cross multiply
    14,480.68x = 20,004.42 × 9,785.56
  4. Step 4: Simplify right side
    14,480.68x = 195,754,452.18
  5. Step 5: Solve for x
    x = 195,754,452.18/14,480.68
  6. Step 6: Final answer
    x = 13,518.32

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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.