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Finding the Fourth Proportional to 16,298.50, 22,492.20 and 8,846.50

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Solution

The fourth proportional to 16,298.50, 22,492.20 and 8,846.50 is: 12,208.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,298.50 : 22,492.20 = 8,846.50 : x
  2. Step 2: Convert to fraction form
    16,298.50/22,492.20 = 8,846.50/x
  3. Step 3: Cross multiply
    16,298.50x = 22,492.20 × 8,846.50
  4. Step 4: Simplify right side
    16,298.50x = 198,977,247.30
  5. Step 5: Solve for x
    x = 198,977,247.30/16,298.50
  6. Step 6: Final answer
    x = 12,208.32

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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.