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Finding the Fourth Proportional to 17,281, 25,921.50 and 6,339.56

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Solution

The fourth proportional to 17,281, 25,921.50 and 6,339.56 is: 9,509.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,281 : 25,921.50 = 6,339.56 : x
  2. Step 2: Convert to fraction form
    17,281/25,921.50 = 6,339.56/x
  3. Step 3: Cross multiply
    17,281x = 25,921.50 × 6,339.56
  4. Step 4: Simplify right side
    17,281x = 164,330,904.54
  5. Step 5: Solve for x
    x = 164,330,904.54/17,281
  6. Step 6: Final answer
    x = 9,509.34

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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.