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Finding the Fourth Proportional to 23,797.80, 32,841.36 and 14,371.80

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Solution

The fourth proportional to 23,797.80, 32,841.36 and 14,371.80 is: 19,833.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,797.80 : 32,841.36 = 14,371.80 : x
  2. Step 2: Convert to fraction form
    23,797.80/32,841.36 = 14,371.80/x
  3. Step 3: Cross multiply
    23,797.80x = 32,841.36 × 14,371.80
  4. Step 4: Simplify right side
    23,797.80x = 471,989,457.65
  5. Step 5: Solve for x
    x = 471,989,457.65/23,797.80
  6. Step 6: Final answer
    x = 19,833.32

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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.