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Finding the Fourth Proportional to 13,592.41, 20,474.27 and 12,762.06

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Solution

The fourth proportional to 13,592.41, 20,474.27 and 12,762.06 is: 19,223.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,592.41 : 20,474.27 = 12,762.06 : x
  2. Step 2: Convert to fraction form
    13,592.41/20,474.27 = 12,762.06/x
  3. Step 3: Cross multiply
    13,592.41x = 20,474.27 × 12,762.06
  4. Step 4: Simplify right side
    13,592.41x = 261,293,769.47
  5. Step 5: Solve for x
    x = 261,293,769.47/13,592.41
  6. Step 6: Final answer
    x = 19,223.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.