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Finding the Fourth Proportional to 16,824.00, 25,187.05 and 9,782.51

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Solution

The fourth proportional to 16,824.00, 25,187.05 and 9,782.51 is: 14,645.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,824.00 : 25,187.05 = 9,782.51 : x
  2. Step 2: Convert to fraction form
    16,824.00/25,187.05 = 9,782.51/x
  3. Step 3: Cross multiply
    16,824.00x = 25,187.05 × 9,782.51
  4. Step 4: Simplify right side
    16,824.00x = 246,392,454.79
  5. Step 5: Solve for x
    x = 246,392,454.79/16,824.00
  6. Step 6: Final answer
    x = 14,645.29

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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.