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Finding the Fourth Proportional to 12,472.35, 17,197.88 and 10,196.58

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Solution

The fourth proportional to 12,472.35, 17,197.88 and 10,196.58 is: 14,059.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,472.35 : 17,197.88 = 10,196.58 : x
  2. Step 2: Convert to fraction form
    12,472.35/17,197.88 = 10,196.58/x
  3. Step 3: Cross multiply
    12,472.35x = 17,197.88 × 10,196.58
  4. Step 4: Simplify right side
    12,472.35x = 175,359,559.25
  5. Step 5: Solve for x
    x = 175,359,559.25/12,472.35
  6. Step 6: Final answer
    x = 14,059.87

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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.