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Finding the Fourth Proportional to 16,024.46, 22,113.03 and 8,949.50

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Solution

The fourth proportional to 16,024.46, 22,113.03 and 8,949.50 is: 12,349.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,024.46 : 22,113.03 = 8,949.50 : x
  2. Step 2: Convert to fraction form
    16,024.46/22,113.03 = 8,949.50/x
  3. Step 3: Cross multiply
    16,024.46x = 22,113.03 × 8,949.50
  4. Step 4: Simplify right side
    16,024.46x = 197,900,561.99
  5. Step 5: Solve for x
    x = 197,900,561.99/16,024.46
  6. Step 6: Final answer
    x = 12,349.91

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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.