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Finding the Fourth Proportional to 12,650.84, 17,461.86 and 7,348.04

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Solution

The fourth proportional to 12,650.84, 17,461.86 and 7,348.04 is: 10,142.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,650.84 : 17,461.86 = 7,348.04 : x
  2. Step 2: Convert to fraction form
    12,650.84/17,461.86 = 7,348.04/x
  3. Step 3: Cross multiply
    12,650.84x = 17,461.86 × 7,348.04
  4. Step 4: Simplify right side
    12,650.84x = 128,310,445.75
  5. Step 5: Solve for x
    x = 128,310,445.75/12,650.84
  6. Step 6: Final answer
    x = 10,142.44

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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.