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Finding the Fourth Proportional to 12,461.52, 17,196.83 and 6,796.16

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Solution

The fourth proportional to 12,461.52, 17,196.83 and 6,796.16 is: 9,378.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,461.52 : 17,196.83 = 6,796.16 : x
  2. Step 2: Convert to fraction form
    12,461.52/17,196.83 = 6,796.16/x
  3. Step 3: Cross multiply
    12,461.52x = 17,196.83 × 6,796.16
  4. Step 4: Simplify right side
    12,461.52x = 116,872,445.66
  5. Step 5: Solve for x
    x = 116,872,445.66/12,461.52
  6. Step 6: Final answer
    x = 9,378.67

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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.