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Finding the Fourth Proportional to 16,805.84, 25,208.76 and 6,418.64

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Solution

The fourth proportional to 16,805.84, 25,208.76 and 6,418.64 is: 9,627.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,805.84 : 25,208.76 = 6,418.64 : x
  2. Step 2: Convert to fraction form
    16,805.84/25,208.76 = 6,418.64/x
  3. Step 3: Cross multiply
    16,805.84x = 25,208.76 × 6,418.64
  4. Step 4: Simplify right side
    16,805.84x = 161,805,955.29
  5. Step 5: Solve for x
    x = 161,805,955.29/16,805.84
  6. Step 6: Final answer
    x = 9,627.96

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