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Finding the Fourth Proportional to 17,382.39, 25,849.95 and 16,828.80

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Solution

The fourth proportional to 17,382.39, 25,849.95 and 16,828.80 is: 25,026.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,382.39 : 25,849.95 = 16,828.80 : x
  2. Step 2: Convert to fraction form
    17,382.39/25,849.95 = 16,828.80/x
  3. Step 3: Cross multiply
    17,382.39x = 25,849.95 × 16,828.80
  4. Step 4: Simplify right side
    17,382.39x = 435,023,478.51
  5. Step 5: Solve for x
    x = 435,023,478.51/17,382.39
  6. Step 6: Final answer
    x = 25,026.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.