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Finding the Fourth Proportional to 13,020.76, 17,969.48 and 7,714.45

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Solution

The fourth proportional to 13,020.76, 17,969.48 and 7,714.45 is: 10,646.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,020.76 : 17,969.48 = 7,714.45 : x
  2. Step 2: Convert to fraction form
    13,020.76/17,969.48 = 7,714.45/x
  3. Step 3: Cross multiply
    13,020.76x = 17,969.48 × 7,714.45
  4. Step 4: Simplify right side
    13,020.76x = 138,624,654.99
  5. Step 5: Solve for x
    x = 138,624,654.99/13,020.76
  6. Step 6: Final answer
    x = 10,646.43

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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.