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Finding the Fourth Proportional to 16,549.44, 24,824.28 and 4,237.44

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Solution

The fourth proportional to 16,549.44, 24,824.28 and 4,237.44 is: 6,356.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,549.44 : 24,824.28 = 4,237.44 : x
  2. Step 2: Convert to fraction form
    16,549.44/24,824.28 = 4,237.44/x
  3. Step 3: Cross multiply
    16,549.44x = 24,824.28 × 4,237.44
  4. Step 4: Simplify right side
    16,549.44x = 105,191,397.04
  5. Step 5: Solve for x
    x = 105,191,397.04/16,549.44
  6. Step 6: Final answer
    x = 6,356.19

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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.