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Finding the Fourth Proportional to 11,242, 16,823.94 and 9,243.76

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Solution

The fourth proportional to 11,242, 16,823.94 and 9,243.76 is: 13,833.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242 : 16,823.94 = 9,243.76 : x
  2. Step 2: Convert to fraction form
    11,242/16,823.94 = 9,243.76/x
  3. Step 3: Cross multiply
    11,242x = 16,823.94 × 9,243.76
  4. Step 4: Simplify right side
    11,242x = 155,516,463.61
  5. Step 5: Solve for x
    x = 155,516,463.61/11,242
  6. Step 6: Final answer
    x = 13,833.52

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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.