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Finding the Fourth Proportional to 13,206.81, 18,223.47 and 7,900.50

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Solution

The fourth proportional to 13,206.81, 18,223.47 and 7,900.50 is: 10,901.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,206.81 : 18,223.47 = 7,900.50 : x
  2. Step 2: Convert to fraction form
    13,206.81/18,223.47 = 7,900.50/x
  3. Step 3: Cross multiply
    13,206.81x = 18,223.47 × 7,900.50
  4. Step 4: Simplify right side
    13,206.81x = 143,974,524.74
  5. Step 5: Solve for x
    x = 143,974,524.74/13,206.81
  6. Step 6: Final answer
    x = 10,901.54

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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.