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Finding the Fourth Proportional to 17,827.80, 26,741.70 and 16,807.20

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Solution

The fourth proportional to 17,827.80, 26,741.70 and 16,807.20 is: 25,210.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,827.80 : 26,741.70 = 16,807.20 : x
  2. Step 2: Convert to fraction form
    17,827.80/26,741.70 = 16,807.20/x
  3. Step 3: Cross multiply
    17,827.80x = 26,741.70 × 16,807.20
  4. Step 4: Simplify right side
    17,827.80x = 449,453,100.24
  5. Step 5: Solve for x
    x = 449,453,100.24/17,827.80
  6. Step 6: Final answer
    x = 25,210.80

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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.