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Finding the Fourth Proportional to 17,192.10, 23,726.78 and 9,638.46

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Solution

The fourth proportional to 17,192.10, 23,726.78 and 9,638.46 is: 13,302.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,192.10 : 23,726.78 = 9,638.46 : x
  2. Step 2: Convert to fraction form
    17,192.10/23,726.78 = 9,638.46/x
  3. Step 3: Cross multiply
    17,192.10x = 23,726.78 × 9,638.46
  4. Step 4: Simplify right side
    17,192.10x = 228,689,619.96
  5. Step 5: Solve for x
    x = 228,689,619.96/17,192.10
  6. Step 6: Final answer
    x = 13,302.02

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