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Finding the Fourth Proportional to 15,682.51, 23,530.88 and 7,792.89

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Solution

The fourth proportional to 15,682.51, 23,530.88 and 7,792.89 is: 11,692.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,682.51 : 23,530.88 = 7,792.89 : x
  2. Step 2: Convert to fraction form
    15,682.51/23,530.88 = 7,792.89/x
  3. Step 3: Cross multiply
    15,682.51x = 23,530.88 × 7,792.89
  4. Step 4: Simplify right side
    15,682.51x = 183,373,559.44
  5. Step 5: Solve for x
    x = 183,373,559.44/15,682.51
  6. Step 6: Final answer
    x = 11,692.87

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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.