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Finding the Fourth Proportional to 12,025.50, 16,596.99 and 7,842.66

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Solution

The fourth proportional to 12,025.50, 16,596.99 and 7,842.66 is: 10,824.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,025.50 : 16,596.99 = 7,842.66 : x
  2. Step 2: Convert to fraction form
    12,025.50/16,596.99 = 7,842.66/x
  3. Step 3: Cross multiply
    12,025.50x = 16,596.99 × 7,842.66
  4. Step 4: Simplify right side
    12,025.50x = 130,164,549.59
  5. Step 5: Solve for x
    x = 130,164,549.59/12,025.50
  6. Step 6: Final answer
    x = 10,824.04

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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.