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Finding the Fourth Proportional to 13,034.12, 17,986.98 and 7,065.80

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Solution

The fourth proportional to 13,034.12, 17,986.98 and 7,065.80 is: 9,750.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,034.12 : 17,986.98 = 7,065.80 : x
  2. Step 2: Convert to fraction form
    13,034.12/17,986.98 = 7,065.80/x
  3. Step 3: Cross multiply
    13,034.12x = 17,986.98 × 7,065.80
  4. Step 4: Simplify right side
    13,034.12x = 127,092,403.28
  5. Step 5: Solve for x
    x = 127,092,403.28/13,034.12
  6. Step 6: Final answer
    x = 9,750.75

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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.