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Finding the Fourth Proportional to 16,465.30, 22,722 and 8,911.63

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Solution

The fourth proportional to 16,465.30, 22,722 and 8,911.63 is: 12,297.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,465.30 : 22,722 = 8,911.63 : x
  2. Step 2: Convert to fraction form
    16,465.30/22,722 = 8,911.63/x
  3. Step 3: Cross multiply
    16,465.30x = 22,722 × 8,911.63
  4. Step 4: Simplify right side
    16,465.30x = 202,490,056.86
  5. Step 5: Solve for x
    x = 202,490,056.86/16,465.30
  6. Step 6: Final answer
    x = 12,297.99

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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.