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Finding the Fourth Proportional to 14,789.76, 20,409.75 and 8,075.37

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Solution

The fourth proportional to 14,789.76, 20,409.75 and 8,075.37 is: 11,143.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,789.76 : 20,409.75 = 8,075.37 : x
  2. Step 2: Convert to fraction form
    14,789.76/20,409.75 = 8,075.37/x
  3. Step 3: Cross multiply
    14,789.76x = 20,409.75 × 8,075.37
  4. Step 4: Simplify right side
    14,789.76x = 164,816,282.86
  5. Step 5: Solve for x
    x = 164,816,282.86/14,789.76
  6. Step 6: Final answer
    x = 11,143.95

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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.