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Finding the Fourth Proportional to 23,283.48, 34,930.68 and 7,701

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Solution

The fourth proportional to 23,283.48, 34,930.68 and 7,701 is: 11,553.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,283.48 : 34,930.68 = 7,701 : x
  2. Step 2: Convert to fraction form
    23,283.48/34,930.68 = 7,701/x
  3. Step 3: Cross multiply
    23,283.48x = 34,930.68 × 7,701
  4. Step 4: Simplify right side
    23,283.48x = 269,001,166.68
  5. Step 5: Solve for x
    x = 269,001,166.68/23,283.48
  6. Step 6: Final answer
    x = 11,553.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.