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Finding the Fourth Proportional to 13,020.58, 17,968.57 and 7,277.78

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Solution

The fourth proportional to 13,020.58, 17,968.57 and 7,277.78 is: 10,043.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,020.58 : 17,968.57 = 7,277.78 : x
  2. Step 2: Convert to fraction form
    13,020.58/17,968.57 = 7,277.78/x
  3. Step 3: Cross multiply
    13,020.58x = 17,968.57 × 7,277.78
  4. Step 4: Simplify right side
    13,020.58x = 130,771,326.10
  5. Step 5: Solve for x
    x = 130,771,326.10/13,020.58
  6. Step 6: Final answer
    x = 10,043.44

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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.