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Finding the Fourth Proportional to 27,983.93, 41,975.63 and 11,340

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Solution

The fourth proportional to 27,983.93, 41,975.63 and 11,340 is: 17,009.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,983.93 : 41,975.63 = 11,340 : x
  2. Step 2: Convert to fraction form
    27,983.93/41,975.63 = 11,340/x
  3. Step 3: Cross multiply
    27,983.93x = 41,975.63 × 11,340
  4. Step 4: Simplify right side
    27,983.93x = 476,003,672.55
  5. Step 5: Solve for x
    x = 476,003,672.55/27,983.93
  6. Step 6: Final answer
    x = 17,009.90

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Why These Related Problems?

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