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Finding the Fourth Proportional to 13,133.21, 18,126.17 and 7,828.37

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Solution

The fourth proportional to 13,133.21, 18,126.17 and 7,828.37 is: 10,804.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,133.21 : 18,126.17 = 7,828.37 : x
  2. Step 2: Convert to fraction form
    13,133.21/18,126.17 = 7,828.37/x
  3. Step 3: Cross multiply
    13,133.21x = 18,126.17 × 7,828.37
  4. Step 4: Simplify right side
    13,133.21x = 141,898,235.67
  5. Step 5: Solve for x
    x = 141,898,235.67/13,133.21
  6. Step 6: Final answer
    x = 10,804.54

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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.