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Finding the Fourth Proportional to 16,405.87, 24,608.82 and 4,719.07

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Solution

The fourth proportional to 16,405.87, 24,608.82 and 4,719.07 is: 7,078.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,405.87 : 24,608.82 = 4,719.07 : x
  2. Step 2: Convert to fraction form
    16,405.87/24,608.82 = 4,719.07/x
  3. Step 3: Cross multiply
    16,405.87x = 24,608.82 × 4,719.07
  4. Step 4: Simplify right side
    16,405.87x = 116,130,744.20
  5. Step 5: Solve for x
    x = 116,130,744.20/16,405.87
  6. Step 6: Final answer
    x = 7,078.61

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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.