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Finding the Fourth Proportional to 17,708.26, 26,573.32 and 7,320

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Solution

The fourth proportional to 17,708.26, 26,573.32 and 7,320 is: 10,984.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,708.26 : 26,573.32 = 7,320 : x
  2. Step 2: Convert to fraction form
    17,708.26/26,573.32 = 7,320/x
  3. Step 3: Cross multiply
    17,708.26x = 26,573.32 × 7,320
  4. Step 4: Simplify right side
    17,708.26x = 194,516,702.40
  5. Step 5: Solve for x
    x = 194,516,702.40/17,708.26
  6. Step 6: Final answer
    x = 10,984.52

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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.