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Finding the Fourth Proportional to 17,030, 23,502.48 and 9,578

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Solution

The fourth proportional to 17,030, 23,502.48 and 9,578 is: 13,218.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,030 : 23,502.48 = 9,578 : x
  2. Step 2: Convert to fraction form
    17,030/23,502.48 = 9,578/x
  3. Step 3: Cross multiply
    17,030x = 23,502.48 × 9,578
  4. Step 4: Simplify right side
    17,030x = 225,106,753.44
  5. Step 5: Solve for x
    x = 225,106,753.44/17,030
  6. Step 6: Final answer
    x = 13,218.25

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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.