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Finding the Fourth Proportional to 16,039.68, 22,135.04 and 9,752.32

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Solution

The fourth proportional to 16,039.68, 22,135.04 and 9,752.32 is: 13,458.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,039.68 : 22,135.04 = 9,752.32 : x
  2. Step 2: Convert to fraction form
    16,039.68/22,135.04 = 9,752.32/x
  3. Step 3: Cross multiply
    16,039.68x = 22,135.04 × 9,752.32
  4. Step 4: Simplify right side
    16,039.68x = 215,867,993.29
  5. Step 5: Solve for x
    x = 215,867,993.29/16,039.68
  6. Step 6: Final answer
    x = 13,458.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.