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Finding the Fourth Proportional to 23,776.64, 32,813.64 and 13,167.26

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Solution

The fourth proportional to 23,776.64, 32,813.64 and 13,167.26 is: 18,171.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,776.64 : 32,813.64 = 13,167.26 : x
  2. Step 2: Convert to fraction form
    23,776.64/32,813.64 = 13,167.26/x
  3. Step 3: Cross multiply
    23,776.64x = 32,813.64 × 13,167.26
  4. Step 4: Simplify right side
    23,776.64x = 432,065,729.43
  5. Step 5: Solve for x
    x = 432,065,729.43/23,776.64
  6. Step 6: Final answer
    x = 18,171.86

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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.