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Finding the Fourth Proportional to 13,814.16, 20,724.02 and 5,047.94

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Solution

The fourth proportional to 13,814.16, 20,724.02 and 5,047.94 is: 7,572.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814.16 : 20,724.02 = 5,047.94 : x
  2. Step 2: Convert to fraction form
    13,814.16/20,724.02 = 5,047.94/x
  3. Step 3: Cross multiply
    13,814.16x = 20,724.02 × 5,047.94
  4. Step 4: Simplify right side
    13,814.16x = 104,613,480.66
  5. Step 5: Solve for x
    x = 104,613,480.66/13,814.16
  6. Step 6: Final answer
    x = 7,572.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.