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Finding the Fourth Proportional to 16,406.60, 24,609.90 and 4,719.82

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Solution

The fourth proportional to 16,406.60, 24,609.90 and 4,719.82 is: 7,079.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,406.60 : 24,609.90 = 4,719.82 : x
  2. Step 2: Convert to fraction form
    16,406.60/24,609.90 = 4,719.82/x
  3. Step 3: Cross multiply
    16,406.60x = 24,609.90 × 4,719.82
  4. Step 4: Simplify right side
    16,406.60x = 116,154,287.26
  5. Step 5: Solve for x
    x = 116,154,287.26/16,406.60
  6. Step 6: Final answer
    x = 7,079.73

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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.