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Finding the Fourth Proportional to 25,758.30, 38,623.26 and 7,984.04

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Solution

The fourth proportional to 25,758.30, 38,623.26 and 7,984.04 is: 11,971.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,758.30 : 38,623.26 = 7,984.04 : x
  2. Step 2: Convert to fraction form
    25,758.30/38,623.26 = 7,984.04/x
  3. Step 3: Cross multiply
    25,758.30x = 38,623.26 × 7,984.04
  4. Step 4: Simplify right side
    25,758.30x = 308,369,652.77
  5. Step 5: Solve for x
    x = 308,369,652.77/25,758.30
  6. Step 6: Final answer
    x = 11,971.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.