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Finding the Fourth Proportional to 12,298.70, 16,967.07 and 8,050.80

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Solution

The fourth proportional to 12,298.70, 16,967.07 and 8,050.80 is: 11,106.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,298.70 : 16,967.07 = 8,050.80 : x
  2. Step 2: Convert to fraction form
    12,298.70/16,967.07 = 8,050.80/x
  3. Step 3: Cross multiply
    12,298.70x = 16,967.07 × 8,050.80
  4. Step 4: Simplify right side
    12,298.70x = 136,598,487.16
  5. Step 5: Solve for x
    x = 136,598,487.16/12,298.70
  6. Step 6: Final answer
    x = 11,106.74

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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.