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Finding the Fourth Proportional to 12,658.20, 17,475.42 and 7,623.80

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Solution

The fourth proportional to 12,658.20, 17,475.42 and 7,623.80 is: 10,525.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,658.20 : 17,475.42 = 7,623.80 : x
  2. Step 2: Convert to fraction form
    12,658.20/17,475.42 = 7,623.80/x
  3. Step 3: Cross multiply
    12,658.20x = 17,475.42 × 7,623.80
  4. Step 4: Simplify right side
    12,658.20x = 133,229,107.00
  5. Step 5: Solve for x
    x = 133,229,107.00/12,658.20
  6. Step 6: Final answer
    x = 10,525.12

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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.