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Finding the Fourth Proportional to 17,891.91, 24,714.08 and 13,617

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Solution

The fourth proportional to 17,891.91, 24,714.08 and 13,617 is: 18,809.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,891.91 : 24,714.08 = 13,617 : x
  2. Step 2: Convert to fraction form
    17,891.91/24,714.08 = 13,617/x
  3. Step 3: Cross multiply
    17,891.91x = 24,714.08 × 13,617
  4. Step 4: Simplify right side
    17,891.91x = 336,531,559.28
  5. Step 5: Solve for x
    x = 336,531,559.28/17,891.91
  6. Step 6: Final answer
    x = 18,809.15

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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.