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Finding the Fourth Proportional to 16,536.49, 24,804.87 and 4,849.90

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Solution

The fourth proportional to 16,536.49, 24,804.87 and 4,849.90 is: 7,274.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,536.49 : 24,804.87 = 4,849.90 : x
  2. Step 2: Convert to fraction form
    16,536.49/24,804.87 = 4,849.90/x
  3. Step 3: Cross multiply
    16,536.49x = 24,804.87 × 4,849.90
  4. Step 4: Simplify right side
    16,536.49x = 120,301,139.01
  5. Step 5: Solve for x
    x = 120,301,139.01/16,536.49
  6. Step 6: Final answer
    x = 7,274.89

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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.