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Finding the Fourth Proportional to 12,380.68, 18,554.59 and 10,729.50

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Solution

The fourth proportional to 12,380.68, 18,554.59 and 10,729.50 is: 16,080.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380.68 : 18,554.59 = 10,729.50 : x
  2. Step 2: Convert to fraction form
    12,380.68/18,554.59 = 10,729.50/x
  3. Step 3: Cross multiply
    12,380.68x = 18,554.59 × 10,729.50
  4. Step 4: Simplify right side
    12,380.68x = 199,081,473.41
  5. Step 5: Solve for x
    x = 199,081,473.41/12,380.68
  6. Step 6: Final answer
    x = 16,080.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.