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Finding the Fourth Proportional to 14,789.65, 20,409.71 and 8,075.31

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Solution

The fourth proportional to 14,789.65, 20,409.71 and 8,075.31 is: 11,143.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,789.65 : 20,409.71 = 8,075.31 : x
  2. Step 2: Convert to fraction form
    14,789.65/20,409.71 = 8,075.31/x
  3. Step 3: Cross multiply
    14,789.65x = 20,409.71 × 8,075.31
  4. Step 4: Simplify right side
    14,789.65x = 164,814,592.84
  5. Step 5: Solve for x
    x = 164,814,592.84/14,789.65
  6. Step 6: Final answer
    x = 11,143.91

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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.