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Finding the Fourth Proportional to 12,471.35, 17,196.50 and 10,195.58

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Solution

The fourth proportional to 12,471.35, 17,196.50 and 10,195.58 is: 14,058.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.35 : 17,196.50 = 10,195.58 : x
  2. Step 2: Convert to fraction form
    12,471.35/17,196.50 = 10,195.58/x
  3. Step 3: Cross multiply
    12,471.35x = 17,196.50 × 10,195.58
  4. Step 4: Simplify right side
    12,471.35x = 175,328,359.95
  5. Step 5: Solve for x
    x = 175,328,359.95/12,471.35
  6. Step 6: Final answer
    x = 14,058.50

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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.