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Finding the Fourth Proportional to 17,256, 25,884.48 and 5,570.40

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Solution

The fourth proportional to 17,256, 25,884.48 and 5,570.40 is: 8,355.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,256 : 25,884.48 = 5,570.40 : x
  2. Step 2: Convert to fraction form
    17,256/25,884.48 = 5,570.40/x
  3. Step 3: Cross multiply
    17,256x = 25,884.48 × 5,570.40
  4. Step 4: Simplify right side
    17,256x = 144,186,907.39
  5. Step 5: Solve for x
    x = 144,186,907.39/17,256
  6. Step 6: Final answer
    x = 8,355.75

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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.