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Finding the Fourth Proportional to 16,824.11, 25,203.82 and 9,406.07

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Solution

The fourth proportional to 16,824.11, 25,203.82 and 9,406.07 is: 14,091.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,824.11 : 25,203.82 = 9,406.07 : x
  2. Step 2: Convert to fraction form
    16,824.11/25,203.82 = 9,406.07/x
  3. Step 3: Cross multiply
    16,824.11x = 25,203.82 × 9,406.07
  4. Step 4: Simplify right side
    16,824.11x = 237,068,895.19
  5. Step 5: Solve for x
    x = 237,068,895.19/16,824.11
  6. Step 6: Final answer
    x = 14,091.03

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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.