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Finding the Fourth Proportional to 16,188.65, 22,340.77 and 9,115.32

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Solution

The fourth proportional to 16,188.65, 22,340.77 and 9,115.32 is: 12,579.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,188.65 : 22,340.77 = 9,115.32 : x
  2. Step 2: Convert to fraction form
    16,188.65/22,340.77 = 9,115.32/x
  3. Step 3: Cross multiply
    16,188.65x = 22,340.77 × 9,115.32
  4. Step 4: Simplify right side
    16,188.65x = 203,643,244.81
  5. Step 5: Solve for x
    x = 203,643,244.81/16,188.65
  6. Step 6: Final answer
    x = 12,579.39

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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.