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Finding the Fourth Proportional to 13,382.68, 18,491.07 and 12,909.64

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Solution

The fourth proportional to 13,382.68, 18,491.07 and 12,909.64 is: 17,837.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,382.68 : 18,491.07 = 12,909.64 : x
  2. Step 2: Convert to fraction form
    13,382.68/18,491.07 = 12,909.64/x
  3. Step 3: Cross multiply
    13,382.68x = 18,491.07 × 12,909.64
  4. Step 4: Simplify right side
    13,382.68x = 238,713,056.91
  5. Step 5: Solve for x
    x = 238,713,056.91/13,382.68
  6. Step 6: Final answer
    x = 17,837.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.