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Finding the Fourth Proportional to 13,708.74, 20,574.63 and 12,844.74

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Solution

The fourth proportional to 13,708.74, 20,574.63 and 12,844.74 is: 19,277.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,708.74 : 20,574.63 = 12,844.74 : x
  2. Step 2: Convert to fraction form
    13,708.74/20,574.63 = 12,844.74/x
  3. Step 3: Cross multiply
    13,708.74x = 20,574.63 × 12,844.74
  4. Step 4: Simplify right side
    13,708.74x = 264,275,772.95
  5. Step 5: Solve for x
    x = 264,275,772.95/13,708.74
  6. Step 6: Final answer
    x = 19,277.90

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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.