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Finding the Fourth Proportional to 12,311.66, 16,984.28 and 8,953

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Solution

The fourth proportional to 12,311.66, 16,984.28 and 8,953 is: 12,350.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,311.66 : 16,984.28 = 8,953 : x
  2. Step 2: Convert to fraction form
    12,311.66/16,984.28 = 8,953/x
  3. Step 3: Cross multiply
    12,311.66x = 16,984.28 × 8,953
  4. Step 4: Simplify right side
    12,311.66x = 152,060,258.84
  5. Step 5: Solve for x
    x = 152,060,258.84/12,311.66
  6. Step 6: Final answer
    x = 12,350.91

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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.