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Finding the Fourth Proportional to 13,206.40, 18,223.76 and 7,899.28

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Solution

The fourth proportional to 13,206.40, 18,223.76 and 7,899.28 is: 10,900.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,206.40 : 18,223.76 = 7,899.28 : x
  2. Step 2: Convert to fraction form
    13,206.40/18,223.76 = 7,899.28/x
  3. Step 3: Cross multiply
    13,206.40x = 18,223.76 × 7,899.28
  4. Step 4: Simplify right side
    13,206.40x = 143,954,582.89
  5. Step 5: Solve for x
    x = 143,954,582.89/13,206.40
  6. Step 6: Final answer
    x = 10,900.37

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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.