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Finding the Fourth Proportional to 15,782.13, 23,682.92 and 8,767.53

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Solution

The fourth proportional to 15,782.13, 23,682.92 and 8,767.53 is: 13,156.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.13 : 23,682.92 = 8,767.53 : x
  2. Step 2: Convert to fraction form
    15,782.13/23,682.92 = 8,767.53/x
  3. Step 3: Cross multiply
    15,782.13x = 23,682.92 × 8,767.53
  4. Step 4: Simplify right side
    15,782.13x = 207,640,667.75
  5. Step 5: Solve for x
    x = 207,640,667.75/15,782.13
  6. Step 6: Final answer
    x = 13,156.69

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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.