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Finding the Fourth Proportional to 16,219.63, 24,343.11 and 6,365.82

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Solution

The fourth proportional to 16,219.63, 24,343.11 and 6,365.82 is: 9,554.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,219.63 : 24,343.11 = 6,365.82 : x
  2. Step 2: Convert to fraction form
    16,219.63/24,343.11 = 6,365.82/x
  3. Step 3: Cross multiply
    16,219.63x = 24,343.11 × 6,365.82
  4. Step 4: Simplify right side
    16,219.63x = 154,963,929.88
  5. Step 5: Solve for x
    x = 154,963,929.88/16,219.63
  6. Step 6: Final answer
    x = 9,554.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.