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Finding the Fourth Proportional to 16,805.90, 25,208.96 and 6,278.30

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Solution

The fourth proportional to 16,805.90, 25,208.96 and 6,278.30 is: 9,417.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,805.90 : 25,208.96 = 6,278.30 : x
  2. Step 2: Convert to fraction form
    16,805.90/25,208.96 = 6,278.30/x
  3. Step 3: Cross multiply
    16,805.90x = 25,208.96 × 6,278.30
  4. Step 4: Simplify right side
    16,805.90x = 158,269,303.22
  5. Step 5: Solve for x
    x = 158,269,303.22/16,805.90
  6. Step 6: Final answer
    x = 9,417.49

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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.