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Finding the Fourth Proportional to 17,257.83, 25,868.29 and 8,929.46

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Solution

The fourth proportional to 17,257.83, 25,868.29 and 8,929.46 is: 13,384.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,257.83 : 25,868.29 = 8,929.46 : x
  2. Step 2: Convert to fraction form
    17,257.83/25,868.29 = 8,929.46/x
  3. Step 3: Cross multiply
    17,257.83x = 25,868.29 × 8,929.46
  4. Step 4: Simplify right side
    17,257.83x = 230,989,860.82
  5. Step 5: Solve for x
    x = 230,989,860.82/17,257.83
  6. Step 6: Final answer
    x = 13,384.64

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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.