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Finding the Fourth Proportional to 16,642.54, 24,965.68 and 5,549.99

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Solution

The fourth proportional to 16,642.54, 24,965.68 and 5,549.99 is: 8,325.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,642.54 : 24,965.68 = 5,549.99 : x
  2. Step 2: Convert to fraction form
    16,642.54/24,965.68 = 5,549.99/x
  3. Step 3: Cross multiply
    16,642.54x = 24,965.68 × 5,549.99
  4. Step 4: Simplify right side
    16,642.54x = 138,559,274.34
  5. Step 5: Solve for x
    x = 138,559,274.34/16,642.54
  6. Step 6: Final answer
    x = 8,325.61

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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.