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Finding the Fourth Proportional to 17,596, 24,282.57 and 13,123.72

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Solution

The fourth proportional to 17,596, 24,282.57 and 13,123.72 is: 18,110.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,596 : 24,282.57 = 13,123.72 : x
  2. Step 2: Convert to fraction form
    17,596/24,282.57 = 13,123.72/x
  3. Step 3: Cross multiply
    17,596x = 24,282.57 × 13,123.72
  4. Step 4: Simplify right side
    17,596x = 318,677,649.56
  5. Step 5: Solve for x
    x = 318,677,649.56/17,596
  6. Step 6: Final answer
    x = 18,110.80

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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.