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Finding the Fourth Proportional to 15,782.45, 21,778.88 and 9,069.77

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Solution

The fourth proportional to 15,782.45, 21,778.88 and 9,069.77 is: 12,515.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.45 : 21,778.88 = 9,069.77 : x
  2. Step 2: Convert to fraction form
    15,782.45/21,778.88 = 9,069.77/x
  3. Step 3: Cross multiply
    15,782.45x = 21,778.88 × 9,069.77
  4. Step 4: Simplify right side
    15,782.45x = 197,529,441.56
  5. Step 5: Solve for x
    x = 197,529,441.56/15,782.45
  6. Step 6: Final answer
    x = 12,515.77

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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.