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Finding the Fourth Proportional to 17,043.16, 25,565.82 and 5,356.84

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Solution

The fourth proportional to 17,043.16, 25,565.82 and 5,356.84 is: 8,035.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,043.16 : 25,565.82 = 5,356.84 : x
  2. Step 2: Convert to fraction form
    17,043.16/25,565.82 = 5,356.84/x
  3. Step 3: Cross multiply
    17,043.16x = 25,565.82 × 5,356.84
  4. Step 4: Simplify right side
    17,043.16x = 136,952,007.21
  5. Step 5: Solve for x
    x = 136,952,007.21/17,043.16
  6. Step 6: Final answer
    x = 8,035.60

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Why These Related Problems?

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