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Finding the Fourth Proportional to 13,429.77, 20,009.70 and 12,675.25

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Solution

The fourth proportional to 13,429.77, 20,009.70 and 12,675.25 is: 18,885.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,429.77 : 20,009.70 = 12,675.25 : x
  2. Step 2: Convert to fraction form
    13,429.77/20,009.70 = 12,675.25/x
  3. Step 3: Cross multiply
    13,429.77x = 20,009.70 × 12,675.25
  4. Step 4: Simplify right side
    13,429.77x = 253,627,949.93
  5. Step 5: Solve for x
    x = 253,627,949.93/13,429.77
  6. Step 6: Final answer
    x = 18,885.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.