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Finding the Fourth Proportional to 20,130, 27,778.18 and 11,176.84

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Solution

The fourth proportional to 20,130, 27,778.18 and 11,176.84 is: 15,423.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,130 : 27,778.18 = 11,176.84 : x
  2. Step 2: Convert to fraction form
    20,130/27,778.18 = 11,176.84/x
  3. Step 3: Cross multiply
    20,130x = 27,778.18 × 11,176.84
  4. Step 4: Simplify right side
    20,130x = 310,472,273.35
  5. Step 5: Solve for x
    x = 310,472,273.35/20,130
  6. Step 6: Final answer
    x = 15,423.36

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