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Finding the Fourth Proportional to 27,102.14, 40,655.46 and 7,111.58

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Solution

The fourth proportional to 27,102.14, 40,655.46 and 7,111.58 is: 10,667.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,102.14 : 40,655.46 = 7,111.58 : x
  2. Step 2: Convert to fraction form
    27,102.14/40,655.46 = 7,111.58/x
  3. Step 3: Cross multiply
    27,102.14x = 40,655.46 × 7,111.58
  4. Step 4: Simplify right side
    27,102.14x = 289,124,556.23
  5. Step 5: Solve for x
    x = 289,124,556.23/27,102.14
  6. Step 6: Final answer
    x = 10,667.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.