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Finding the Fourth Proportional to 11,842.86, 17,784.45 and 11,347.50

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Solution

The fourth proportional to 11,842.86, 17,784.45 and 11,347.50 is: 17,040.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.86 : 17,784.45 = 11,347.50 : x
  2. Step 2: Convert to fraction form
    11,842.86/17,784.45 = 11,347.50/x
  3. Step 3: Cross multiply
    11,842.86x = 17,784.45 × 11,347.50
  4. Step 4: Simplify right side
    11,842.86x = 201,809,046.38
  5. Step 5: Solve for x
    x = 201,809,046.38/11,842.86
  6. Step 6: Final answer
    x = 17,040.57

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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.