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Finding the Fourth Proportional to 12,798.06, 17,644.14 and 11,485.86

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Solution

The fourth proportional to 12,798.06, 17,644.14 and 11,485.86 is: 15,835.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,798.06 : 17,644.14 = 11,485.86 : x
  2. Step 2: Convert to fraction form
    12,798.06/17,644.14 = 11,485.86/x
  3. Step 3: Cross multiply
    12,798.06x = 17,644.14 × 11,485.86
  4. Step 4: Simplify right side
    12,798.06x = 202,658,121.86
  5. Step 5: Solve for x
    x = 202,658,121.86/12,798.06
  6. Step 6: Final answer
    x = 15,835.07

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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.