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Finding the Fourth Proportional to 27,842.74, 41,774.37 and 13,056.46

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Solution

The fourth proportional to 27,842.74, 41,774.37 and 13,056.46 is: 19,589.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,842.74 : 41,774.37 = 13,056.46 : x
  2. Step 2: Convert to fraction form
    27,842.74/41,774.37 = 13,056.46/x
  3. Step 3: Cross multiply
    27,842.74x = 41,774.37 × 13,056.46
  4. Step 4: Simplify right side
    27,842.74x = 545,425,390.93
  5. Step 5: Solve for x
    x = 545,425,390.93/27,842.74
  6. Step 6: Final answer
    x = 19,589.50

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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.