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Finding the Fourth Proportional to 14,662.28, 20,232.42 and 8,288.50

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Solution

The fourth proportional to 14,662.28, 20,232.42 and 8,288.50 is: 11,437.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,662.28 : 20,232.42 = 8,288.50 : x
  2. Step 2: Convert to fraction form
    14,662.28/20,232.42 = 8,288.50/x
  3. Step 3: Cross multiply
    14,662.28x = 20,232.42 × 8,288.50
  4. Step 4: Simplify right side
    14,662.28x = 167,696,413.17
  5. Step 5: Solve for x
    x = 167,696,413.17/14,662.28
  6. Step 6: Final answer
    x = 11,437.27

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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.