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Finding the Fourth Proportional to 12,499.65, 17,249.85 and 6,834.64

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Solution

The fourth proportional to 12,499.65, 17,249.85 and 6,834.64 is: 9,431.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,499.65 : 17,249.85 = 6,834.64 : x
  2. Step 2: Convert to fraction form
    12,499.65/17,249.85 = 6,834.64/x
  3. Step 3: Cross multiply
    12,499.65x = 17,249.85 × 6,834.64
  4. Step 4: Simplify right side
    12,499.65x = 117,896,518.67
  5. Step 5: Solve for x
    x = 117,896,518.67/12,499.65
  6. Step 6: Final answer
    x = 9,431.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.