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Finding the Fourth Proportional to 17,078, 25,603.10 and 11,461.46

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Solution

The fourth proportional to 17,078, 25,603.10 and 11,461.46 is: 17,182.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,078 : 25,603.10 = 11,461.46 : x
  2. Step 2: Convert to fraction form
    17,078/25,603.10 = 11,461.46/x
  3. Step 3: Cross multiply
    17,078x = 25,603.10 × 11,461.46
  4. Step 4: Simplify right side
    17,078x = 293,448,849.22
  5. Step 5: Solve for x
    x = 293,448,849.22/17,078
  6. Step 6: Final answer
    x = 17,182.86

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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.