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Finding the Fourth Proportional to 17,030, 25,546.44 and 4,718

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Solution

The fourth proportional to 17,030, 25,546.44 and 4,718 is: 7,077.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,030 : 25,546.44 = 4,718 : x
  2. Step 2: Convert to fraction form
    17,030/25,546.44 = 4,718/x
  3. Step 3: Cross multiply
    17,030x = 25,546.44 × 4,718
  4. Step 4: Simplify right side
    17,030x = 120,528,103.92
  5. Step 5: Solve for x
    x = 120,528,103.92/17,030
  6. Step 6: Final answer
    x = 7,077.40

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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.