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Finding the Fourth Proportional to 13,133.50, 18,121.75 and 7,828.81

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Solution

The fourth proportional to 13,133.50, 18,121.75 and 7,828.81 is: 10,802.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,133.50 : 18,121.75 = 7,828.81 : x
  2. Step 2: Convert to fraction form
    13,133.50/18,121.75 = 7,828.81/x
  3. Step 3: Cross multiply
    13,133.50x = 18,121.75 × 7,828.81
  4. Step 4: Simplify right side
    13,133.50x = 141,871,770.06
  5. Step 5: Solve for x
    x = 141,871,770.06/13,133.50
  6. Step 6: Final answer
    x = 10,802.28

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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.