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Finding the Fourth Proportional to 27,326.50, 40,963.11 and 13,999.48

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Solution

The fourth proportional to 27,326.50, 40,963.11 and 13,999.48 is: 20,985.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,326.50 : 40,963.11 = 13,999.48 : x
  2. Step 2: Convert to fraction form
    27,326.50/40,963.11 = 13,999.48/x
  3. Step 3: Cross multiply
    27,326.50x = 40,963.11 × 13,999.48
  4. Step 4: Simplify right side
    27,326.50x = 573,462,239.18
  5. Step 5: Solve for x
    x = 573,462,239.18/27,326.50
  6. Step 6: Final answer
    x = 20,985.57

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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.