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Finding the Fourth Proportional to 27,543.51, 38,010.20 and 16,213.50

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Solution

The fourth proportional to 27,543.51, 38,010.20 and 16,213.50 is: 22,374.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,543.51 : 38,010.20 = 16,213.50 : x
  2. Step 2: Convert to fraction form
    27,543.51/38,010.20 = 16,213.50/x
  3. Step 3: Cross multiply
    27,543.51x = 38,010.20 × 16,213.50
  4. Step 4: Simplify right side
    27,543.51x = 616,278,296.63
  5. Step 5: Solve for x
    x = 616,278,296.63/27,543.51
  6. Step 6: Final answer
    x = 22,374.72

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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.