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Finding the Fourth Proportional to 12,650.34, 17,461.17 and 7,347.54

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Solution

The fourth proportional to 12,650.34, 17,461.17 and 7,347.54 is: 10,141.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,650.34 : 17,461.17 = 7,347.54 : x
  2. Step 2: Convert to fraction form
    12,650.34/17,461.17 = 7,347.54/x
  3. Step 3: Cross multiply
    12,650.34x = 17,461.17 × 7,347.54
  4. Step 4: Simplify right side
    12,650.34x = 128,296,645.02
  5. Step 5: Solve for x
    x = 128,296,645.02/12,650.34
  6. Step 6: Final answer
    x = 10,141.75

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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.