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Finding the Fourth Proportional to 17,578.88, 26,368.34 and 6,480.76

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Solution

The fourth proportional to 17,578.88, 26,368.34 and 6,480.76 is: 9,721.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,578.88 : 26,368.34 = 6,480.76 : x
  2. Step 2: Convert to fraction form
    17,578.88/26,368.34 = 6,480.76/x
  3. Step 3: Cross multiply
    17,578.88x = 26,368.34 × 6,480.76
  4. Step 4: Simplify right side
    17,578.88x = 170,886,883.14
  5. Step 5: Solve for x
    x = 170,886,883.14/17,578.88
  6. Step 6: Final answer
    x = 9,721.15

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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.