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Finding the Fourth Proportional to 16,578.21, 22,877.87 and 9,024.96

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Solution

The fourth proportional to 16,578.21, 22,877.87 and 9,024.96 is: 12,454.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,578.21 : 22,877.87 = 9,024.96 : x
  2. Step 2: Convert to fraction form
    16,578.21/22,877.87 = 9,024.96/x
  3. Step 3: Cross multiply
    16,578.21x = 22,877.87 × 9,024.96
  4. Step 4: Simplify right side
    16,578.21x = 206,471,816.51
  5. Step 5: Solve for x
    x = 206,471,816.51/16,578.21
  6. Step 6: Final answer
    x = 12,454.41

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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.