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Finding the Fourth Proportional to 12,309.63, 16,988.31 and 10,065.21

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Solution

The fourth proportional to 12,309.63, 16,988.31 and 10,065.21 is: 13,890.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.63 : 16,988.31 = 10,065.21 : x
  2. Step 2: Convert to fraction form
    12,309.63/16,988.31 = 10,065.21/x
  3. Step 3: Cross multiply
    12,309.63x = 16,988.31 × 10,065.21
  4. Step 4: Simplify right side
    12,309.63x = 170,990,907.70
  5. Step 5: Solve for x
    x = 170,990,907.70/12,309.63
  6. Step 6: Final answer
    x = 13,890.82

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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.