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Finding the Fourth Proportional to 17,024, 25,536 and 4,712

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Solution

The fourth proportional to 17,024, 25,536 and 4,712 is: 7,068

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,024 : 25,536 = 4,712 : x
  2. Step 2: Convert to fraction form
    17,024/25,536 = 4,712/x
  3. Step 3: Cross multiply
    17,024x = 25,536 × 4,712
  4. Step 4: Simplify right side
    17,024x = 120,325,632
  5. Step 5: Solve for x
    x = 120,325,632/17,024
  6. Step 6: Final answer
    x = 7,068

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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.