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Finding the Fourth Proportional to 16,406.60, 24,613.10 and 7,046.60

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Solution

The fourth proportional to 16,406.60, 24,613.10 and 7,046.60 is: 10,571.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,406.60 : 24,613.10 = 7,046.60 : x
  2. Step 2: Convert to fraction form
    16,406.60/24,613.10 = 7,046.60/x
  3. Step 3: Cross multiply
    16,406.60x = 24,613.10 × 7,046.60
  4. Step 4: Simplify right side
    16,406.60x = 173,438,670.46
  5. Step 5: Solve for x
    x = 173,438,670.46/16,406.60
  6. Step 6: Final answer
    x = 10,571.27

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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.