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Finding the Fourth Proportional to 12,769.03, 17,622.81 and 7,735

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Solution

The fourth proportional to 12,769.03, 17,622.81 and 7,735 is: 10,675.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,769.03 : 17,622.81 = 7,735 : x
  2. Step 2: Convert to fraction form
    12,769.03/17,622.81 = 7,735/x
  3. Step 3: Cross multiply
    12,769.03x = 17,622.81 × 7,735
  4. Step 4: Simplify right side
    12,769.03x = 136,312,435.35
  5. Step 5: Solve for x
    x = 136,312,435.35/12,769.03
  6. Step 6: Final answer
    x = 10,675.24

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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.