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Finding the Fourth Proportional to 16,182.66, 24,283.43 and 6,822.11

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Solution

The fourth proportional to 16,182.66, 24,283.43 and 6,822.11 is: 10,237.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,182.66 : 24,283.43 = 6,822.11 : x
  2. Step 2: Convert to fraction form
    16,182.66/24,283.43 = 6,822.11/x
  3. Step 3: Cross multiply
    16,182.66x = 24,283.43 × 6,822.11
  4. Step 4: Simplify right side
    16,182.66x = 165,664,075.11
  5. Step 5: Solve for x
    x = 165,664,075.11/16,182.66
  6. Step 6: Final answer
    x = 10,237.14

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Why These Related Problems?

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