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Finding the Fourth Proportional to 17,054, 23,536 and 9,603.44

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Solution

The fourth proportional to 17,054, 23,536 and 9,603.44 is: 13,253.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,054 : 23,536 = 9,603.44 : x
  2. Step 2: Convert to fraction form
    17,054/23,536 = 9,603.44/x
  3. Step 3: Cross multiply
    17,054x = 23,536 × 9,603.44
  4. Step 4: Simplify right side
    17,054x = 226,026,563.84
  5. Step 5: Solve for x
    x = 226,026,563.84/17,054
  6. Step 6: Final answer
    x = 13,253.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.