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Finding the Fourth Proportional to 17,080, 25,624.32 and 4,768

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Solution

The fourth proportional to 17,080, 25,624.32 and 4,768 is: 7,153.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,080 : 25,624.32 = 4,768 : x
  2. Step 2: Convert to fraction form
    17,080/25,624.32 = 4,768/x
  3. Step 3: Cross multiply
    17,080x = 25,624.32 × 4,768
  4. Step 4: Simplify right side
    17,080x = 122,176,757.76
  5. Step 5: Solve for x
    x = 122,176,757.76/17,080
  6. Step 6: Final answer
    x = 7,153.21

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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.