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Finding the Fourth Proportional to 16,033.68, 24,028.62 and 9,017.10

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Solution

The fourth proportional to 16,033.68, 24,028.62 and 9,017.10 is: 13,513.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,033.68 : 24,028.62 = 9,017.10 : x
  2. Step 2: Convert to fraction form
    16,033.68/24,028.62 = 9,017.10/x
  3. Step 3: Cross multiply
    16,033.68x = 24,028.62 × 9,017.10
  4. Step 4: Simplify right side
    16,033.68x = 216,668,469.40
  5. Step 5: Solve for x
    x = 216,668,469.40/16,033.68
  6. Step 6: Final answer
    x = 13,513.33

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1.5x scale

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.