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Finding the Fourth Proportional to 16,808.66, 25,209.74 and 6,417.98

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Solution

The fourth proportional to 16,808.66, 25,209.74 and 6,417.98 is: 9,625.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,808.66 : 25,209.74 = 6,417.98 : x
  2. Step 2: Convert to fraction form
    16,808.66/25,209.74 = 6,417.98/x
  3. Step 3: Cross multiply
    16,808.66x = 25,209.74 × 6,417.98
  4. Step 4: Simplify right side
    16,808.66x = 161,795,575.04
  5. Step 5: Solve for x
    x = 161,795,575.04/16,808.66
  6. Step 6: Final answer
    x = 9,625.73

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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.