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Finding the Fourth Proportional to 13,474.51, 20,214.02 and 6,078.81

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Solution

The fourth proportional to 13,474.51, 20,214.02 and 6,078.81 is: 9,119.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,474.51 : 20,214.02 = 6,078.81 : x
  2. Step 2: Convert to fraction form
    13,474.51/20,214.02 = 6,078.81/x
  3. Step 3: Cross multiply
    13,474.51x = 20,214.02 × 6,078.81
  4. Step 4: Simplify right side
    13,474.51x = 122,877,186.92
  5. Step 5: Solve for x
    x = 122,877,186.92/13,474.51
  6. Step 6: Final answer
    x = 9,119.23

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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.