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Finding the Fourth Proportional to 15,813.06, 21,820.92 and 9,093.84

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Solution

The fourth proportional to 15,813.06, 21,820.92 and 9,093.84 is: 12,548.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,813.06 : 21,820.92 = 9,093.84 : x
  2. Step 2: Convert to fraction form
    15,813.06/21,820.92 = 9,093.84/x
  3. Step 3: Cross multiply
    15,813.06x = 21,820.92 × 9,093.84
  4. Step 4: Simplify right side
    15,813.06x = 198,435,955.13
  5. Step 5: Solve for x
    x = 198,435,955.13/15,813.06
  6. Step 6: Final answer
    x = 12,548.86

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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.