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Finding the Fourth Proportional to 13,034.02, 17,986.98 and 7,065.64

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Solution

The fourth proportional to 13,034.02, 17,986.98 and 7,065.64 is: 9,750.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,034.02 : 17,986.98 = 7,065.64 : x
  2. Step 2: Convert to fraction form
    13,034.02/17,986.98 = 7,065.64/x
  3. Step 3: Cross multiply
    13,034.02x = 17,986.98 × 7,065.64
  4. Step 4: Simplify right side
    13,034.02x = 127,089,525.37
  5. Step 5: Solve for x
    x = 127,089,525.37/13,034.02
  6. Step 6: Final answer
    x = 9,750.60

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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.