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Finding the Fourth Proportional to 13,034.58, 17,986.56 and 7,728.54

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Solution

The fourth proportional to 13,034.58, 17,986.56 and 7,728.54 is: 10,664.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,034.58 : 17,986.56 = 7,728.54 : x
  2. Step 2: Convert to fraction form
    13,034.58/17,986.56 = 7,728.54/x
  3. Step 3: Cross multiply
    13,034.58x = 17,986.56 × 7,728.54
  4. Step 4: Simplify right side
    13,034.58x = 139,009,848.42
  5. Step 5: Solve for x
    x = 139,009,848.42/13,034.58
  6. Step 6: Final answer
    x = 10,664.70

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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.