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Finding the Fourth Proportional to 12,594.53, 17,382.12 and 8,131.25

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Solution

The fourth proportional to 12,594.53, 17,382.12 and 8,131.25 is: 11,222.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594.53 : 17,382.12 = 8,131.25 : x
  2. Step 2: Convert to fraction form
    12,594.53/17,382.12 = 8,131.25/x
  3. Step 3: Cross multiply
    12,594.53x = 17,382.12 × 8,131.25
  4. Step 4: Simplify right side
    12,594.53x = 141,338,406.71
  5. Step 5: Solve for x
    x = 141,338,406.71/12,594.53
  6. Step 6: Final answer
    x = 11,222.20

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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.