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Finding the Fourth Proportional to 12,835.86, 17,711.49 and 7,246.74

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Solution

The fourth proportional to 12,835.86, 17,711.49 and 7,246.74 is: 9,999.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,835.86 : 17,711.49 = 7,246.74 : x
  2. Step 2: Convert to fraction form
    12,835.86/17,711.49 = 7,246.74/x
  3. Step 3: Cross multiply
    12,835.86x = 17,711.49 × 7,246.74
  4. Step 4: Simplify right side
    12,835.86x = 128,350,563.04
  5. Step 5: Solve for x
    x = 128,350,563.04/12,835.86
  6. Step 6: Final answer
    x = 9,999.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.