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Finding the Fourth Proportional to 17,409.72, 26,098.74 and 6,311.64

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Solution

The fourth proportional to 17,409.72, 26,098.74 and 6,311.64 is: 9,461.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,409.72 : 26,098.74 = 6,311.64 : x
  2. Step 2: Convert to fraction form
    17,409.72/26,098.74 = 6,311.64/x
  3. Step 3: Cross multiply
    17,409.72x = 26,098.74 × 6,311.64
  4. Step 4: Simplify right side
    17,409.72x = 164,725,851.33
  5. Step 5: Solve for x
    x = 164,725,851.33/17,409.72
  6. Step 6: Final answer
    x = 9,461.72

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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.