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Finding the Fourth Proportional to 16,203.44, 24,305.16 and 5,110.99

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Solution

The fourth proportional to 16,203.44, 24,305.16 and 5,110.99 is: 7,666.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,203.44 : 24,305.16 = 5,110.99 : x
  2. Step 2: Convert to fraction form
    16,203.44/24,305.16 = 5,110.99/x
  3. Step 3: Cross multiply
    16,203.44x = 24,305.16 × 5,110.99
  4. Step 4: Simplify right side
    16,203.44x = 124,223,429.71
  5. Step 5: Solve for x
    x = 124,223,429.71/16,203.44
  6. Step 6: Final answer
    x = 7,666.49

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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.