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Finding the Fourth Proportional to 23,589.84, 32,535.84 and 14,642.64

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Solution

The fourth proportional to 23,589.84, 32,535.84 and 14,642.64 is: 20,195.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,589.84 : 32,535.84 = 14,642.64 : x
  2. Step 2: Convert to fraction form
    23,589.84/32,535.84 = 14,642.64/x
  3. Step 3: Cross multiply
    23,589.84x = 32,535.84 × 14,642.64
  4. Step 4: Simplify right side
    23,589.84x = 476,410,592.22
  5. Step 5: Solve for x
    x = 476,410,592.22/23,589.84
  6. Step 6: Final answer
    x = 20,195.58

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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.