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Finding the Fourth Proportional to 13,034.12, 17,986.23 and 7,291.40

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Solution

The fourth proportional to 13,034.12, 17,986.23 and 7,291.40 is: 10,061.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,034.12 : 17,986.23 = 7,291.40 : x
  2. Step 2: Convert to fraction form
    13,034.12/17,986.23 = 7,291.40/x
  3. Step 3: Cross multiply
    13,034.12x = 17,986.23 × 7,291.40
  4. Step 4: Simplify right side
    13,034.12x = 131,144,707.49
  5. Step 5: Solve for x
    x = 131,144,707.49/13,034.12
  6. Step 6: Final answer
    x = 10,061.65

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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.