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Finding the Fourth Proportional to 16,424.81, 22,668.05 and 9,350.09

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Solution

The fourth proportional to 16,424.81, 22,668.05 and 9,350.09 is: 12,904.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,424.81 : 22,668.05 = 9,350.09 : x
  2. Step 2: Convert to fraction form
    16,424.81/22,668.05 = 9,350.09/x
  3. Step 3: Cross multiply
    16,424.81x = 22,668.05 × 9,350.09
  4. Step 4: Simplify right side
    16,424.81x = 211,948,307.62
  5. Step 5: Solve for x
    x = 211,948,307.62/16,424.81
  6. Step 6: Final answer
    x = 12,904.16

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1.5x scale

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.