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Finding the Fourth Proportional to 16,578.97, 24,868.71 and 9,230.14

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Solution

The fourth proportional to 16,578.97, 24,868.71 and 9,230.14 is: 13,845.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,578.97 : 24,868.71 = 9,230.14 : x
  2. Step 2: Convert to fraction form
    16,578.97/24,868.71 = 9,230.14/x
  3. Step 3: Cross multiply
    16,578.97x = 24,868.71 × 9,230.14
  4. Step 4: Simplify right side
    16,578.97x = 229,541,674.92
  5. Step 5: Solve for x
    x = 229,541,674.92/16,578.97
  6. Step 6: Final answer
    x = 13,845.35

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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.