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Finding the Fourth Proportional to 20,117.41, 27,762.09 and 11,164.94

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Solution

The fourth proportional to 20,117.41, 27,762.09 and 11,164.94 is: 15,407.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,117.41 : 27,762.09 = 11,164.94 : x
  2. Step 2: Convert to fraction form
    20,117.41/27,762.09 = 11,164.94/x
  3. Step 3: Cross multiply
    20,117.41x = 27,762.09 × 11,164.94
  4. Step 4: Simplify right side
    20,117.41x = 309,962,055.36
  5. Step 5: Solve for x
    x = 309,962,055.36/20,117.41
  6. Step 6: Final answer
    x = 15,407.65

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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.