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Finding the Fourth Proportional to 17,283.68, 25,899.10 and 11,640.48

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Solution

The fourth proportional to 17,283.68, 25,899.10 and 11,640.48 is: 17,442.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,283.68 : 25,899.10 = 11,640.48 : x
  2. Step 2: Convert to fraction form
    17,283.68/25,899.10 = 11,640.48/x
  3. Step 3: Cross multiply
    17,283.68x = 25,899.10 × 11,640.48
  4. Step 4: Simplify right side
    17,283.68x = 301,477,826.07
  5. Step 5: Solve for x
    x = 301,477,826.07/17,283.68
  6. Step 6: Final answer
    x = 17,442.92

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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.