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Finding the Fourth Proportional to 12,638.10, 17,422.12 and 8,849.34

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Solution

The fourth proportional to 12,638.10, 17,422.12 and 8,849.34 is: 12,199.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638.10 : 17,422.12 = 8,849.34 : x
  2. Step 2: Convert to fraction form
    12,638.10/17,422.12 = 8,849.34/x
  3. Step 3: Cross multiply
    12,638.10x = 17,422.12 × 8,849.34
  4. Step 4: Simplify right side
    12,638.10x = 154,174,263.40
  5. Step 5: Solve for x
    x = 154,174,263.40/12,638.10
  6. Step 6: Final answer
    x = 12,199.16

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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.