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Finding the Fourth Proportional to 20,077.59, 27,706.71 and 11,125.06

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Solution

The fourth proportional to 20,077.59, 27,706.71 and 11,125.06 is: 15,352.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,077.59 : 27,706.71 = 11,125.06 : x
  2. Step 2: Convert to fraction form
    20,077.59/27,706.71 = 11,125.06/x
  3. Step 3: Cross multiply
    20,077.59x = 27,706.71 × 11,125.06
  4. Step 4: Simplify right side
    20,077.59x = 308,238,811.15
  5. Step 5: Solve for x
    x = 308,238,811.15/20,077.59
  6. Step 6: Final answer
    x = 15,352.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.