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Finding the Fourth Proportional to 17,608.96, 26,406 and 9,283.76

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Solution

The fourth proportional to 17,608.96, 26,406 and 9,283.76 is: 13,921.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,608.96 : 26,406 = 9,283.76 : x
  2. Step 2: Convert to fraction form
    17,608.96/26,406 = 9,283.76/x
  3. Step 3: Cross multiply
    17,608.96x = 26,406 × 9,283.76
  4. Step 4: Simplify right side
    17,608.96x = 245,146,966.56
  5. Step 5: Solve for x
    x = 245,146,966.56/17,608.96
  6. Step 6: Final answer
    x = 13,921.72

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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.