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Finding the Fourth Proportional to 12,632.34, 17,433.80 and 7,255.49

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Solution

The fourth proportional to 12,632.34, 17,433.80 and 7,255.49 is: 10,013.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,632.34 : 17,433.80 = 7,255.49 : x
  2. Step 2: Convert to fraction form
    12,632.34/17,433.80 = 7,255.49/x
  3. Step 3: Cross multiply
    12,632.34x = 17,433.80 × 7,255.49
  4. Step 4: Simplify right side
    12,632.34x = 126,490,638.12
  5. Step 5: Solve for x
    x = 126,490,638.12/12,632.34
  6. Step 6: Final answer
    x = 10,013.24

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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.