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Finding the Fourth Proportional to 15,813.37, 21,826.09 and 9,102.89

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Solution

The fourth proportional to 15,813.37, 21,826.09 and 9,102.89 is: 12,564.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,813.37 : 21,826.09 = 9,102.89 : x
  2. Step 2: Convert to fraction form
    15,813.37/21,826.09 = 9,102.89/x
  3. Step 3: Cross multiply
    15,813.37x = 21,826.09 × 9,102.89
  4. Step 4: Simplify right side
    15,813.37x = 198,680,562.34
  5. Step 5: Solve for x
    x = 198,680,562.34/15,813.37
  6. Step 6: Final answer
    x = 12,564.09

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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.