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Finding the Fourth Proportional to 16,219.61, 22,383.02 and 9,145.98

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Solution

The fourth proportional to 16,219.61, 22,383.02 and 9,145.98 is: 12,621.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,219.61 : 22,383.02 = 9,145.98 : x
  2. Step 2: Convert to fraction form
    16,219.61/22,383.02 = 9,145.98/x
  3. Step 3: Cross multiply
    16,219.61x = 22,383.02 × 9,145.98
  4. Step 4: Simplify right side
    16,219.61x = 204,714,495.61
  5. Step 5: Solve for x
    x = 204,714,495.61/16,219.61
  6. Step 6: Final answer
    x = 12,621.42

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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.