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Finding the Fourth Proportional to 12,658.68, 17,452.67 and 10,381.64

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Solution

The fourth proportional to 12,658.68, 17,452.67 and 10,381.64 is: 14,313.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,658.68 : 17,452.67 = 10,381.64 : x
  2. Step 2: Convert to fraction form
    12,658.68/17,452.67 = 10,381.64/x
  3. Step 3: Cross multiply
    12,658.68x = 17,452.67 × 10,381.64
  4. Step 4: Simplify right side
    12,658.68x = 181,187,197.81
  5. Step 5: Solve for x
    x = 181,187,197.81/12,658.68
  6. Step 6: Final answer
    x = 14,313.28

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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.