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Finding the Fourth Proportional to 12,596.70, 17,374.82 and 8,502.14

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Solution

The fourth proportional to 12,596.70, 17,374.82 and 8,502.14 is: 11,727.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.70 : 17,374.82 = 8,502.14 : x
  2. Step 2: Convert to fraction form
    12,596.70/17,374.82 = 8,502.14/x
  3. Step 3: Cross multiply
    12,596.70x = 17,374.82 × 8,502.14
  4. Step 4: Simplify right side
    12,596.70x = 147,723,152.11
  5. Step 5: Solve for x
    x = 147,723,152.11/12,596.70
  6. Step 6: Final answer
    x = 11,727.13

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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.