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Finding the Fourth Proportional to 17,034, 23,507.28 and 9,582

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Solution

The fourth proportional to 17,034, 23,507.28 and 9,582 is: 13,223.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,034 : 23,507.28 = 9,582 : x
  2. Step 2: Convert to fraction form
    17,034/23,507.28 = 9,582/x
  3. Step 3: Cross multiply
    17,034x = 23,507.28 × 9,582
  4. Step 4: Simplify right side
    17,034x = 225,246,756.96
  5. Step 5: Solve for x
    x = 225,246,756.96/17,034
  6. Step 6: Final answer
    x = 13,223.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.