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Finding the Fourth Proportional to 12,768.13, 17,622.08 and 7,461.91

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Solution

The fourth proportional to 12,768.13, 17,622.08 and 7,461.91 is: 10,298.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,768.13 : 17,622.08 = 7,461.91 : x
  2. Step 2: Convert to fraction form
    12,768.13/17,622.08 = 7,461.91/x
  3. Step 3: Cross multiply
    12,768.13x = 17,622.08 × 7,461.91
  4. Step 4: Simplify right side
    12,768.13x = 131,494,374.97
  5. Step 5: Solve for x
    x = 131,494,374.97/12,768.13
  6. Step 6: Final answer
    x = 10,298.64

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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.