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Finding the Fourth Proportional to 12,461.50, 17,196.87 and 6,872.50

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Solution

The fourth proportional to 12,461.50, 17,196.87 and 6,872.50 is: 9,484.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,461.50 : 17,196.87 = 6,872.50 : x
  2. Step 2: Convert to fraction form
    12,461.50/17,196.87 = 6,872.50/x
  3. Step 3: Cross multiply
    12,461.50x = 17,196.87 × 6,872.50
  4. Step 4: Simplify right side
    12,461.50x = 118,185,489.08
  5. Step 5: Solve for x
    x = 118,185,489.08/12,461.50
  6. Step 6: Final answer
    x = 9,484.05

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Why These Related Problems?

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