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Finding the Fourth Proportional to 16,185.96, 24,282.18 and 5,094.36

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Solution

The fourth proportional to 16,185.96, 24,282.18 and 5,094.36 is: 7,642.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,185.96 : 24,282.18 = 5,094.36 : x
  2. Step 2: Convert to fraction form
    16,185.96/24,282.18 = 5,094.36/x
  3. Step 3: Cross multiply
    16,185.96x = 24,282.18 × 5,094.36
  4. Step 4: Simplify right side
    16,185.96x = 123,702,166.50
  5. Step 5: Solve for x
    x = 123,702,166.50/16,185.96
  6. Step 6: Final answer
    x = 7,642.56

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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.