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Finding the Fourth Proportional to 12,681.96, 17,496.84 and 8,211.36

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Solution

The fourth proportional to 12,681.96, 17,496.84 and 8,211.36 is: 11,328.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,681.96 : 17,496.84 = 8,211.36 : x
  2. Step 2: Convert to fraction form
    12,681.96/17,496.84 = 8,211.36/x
  3. Step 3: Cross multiply
    12,681.96x = 17,496.84 × 8,211.36
  4. Step 4: Simplify right side
    12,681.96x = 143,672,852.10
  5. Step 5: Solve for x
    x = 143,672,852.10/12,681.96
  6. Step 6: Final answer
    x = 11,328.92

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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.