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Finding the Fourth Proportional to 17,104.30, 25,653.88 and 5,416

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Solution

The fourth proportional to 17,104.30, 25,653.88 and 5,416 is: 8,123.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,104.30 : 25,653.88 = 5,416 : x
  2. Step 2: Convert to fraction form
    17,104.30/25,653.88 = 5,416/x
  3. Step 3: Cross multiply
    17,104.30x = 25,653.88 × 5,416
  4. Step 4: Simplify right side
    17,104.30x = 138,941,414.08
  5. Step 5: Solve for x
    x = 138,941,414.08/17,104.30
  6. Step 6: Final answer
    x = 8,123.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.