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Finding the Fourth Proportional to 20,094, 27,729.76 and 11,262

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Solution

The fourth proportional to 20,094, 27,729.76 and 11,262 is: 15,541.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,094 : 27,729.76 = 11,262 : x
  2. Step 2: Convert to fraction form
    20,094/27,729.76 = 11,262/x
  3. Step 3: Cross multiply
    20,094x = 27,729.76 × 11,262
  4. Step 4: Simplify right side
    20,094x = 312,292,557.12
  5. Step 5: Solve for x
    x = 312,292,557.12/20,094
  6. Step 6: Final answer
    x = 15,541.58

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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.