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Finding the Fourth Proportional to 13,158.14, 18,152.34 and 7,849.19

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Solution

The fourth proportional to 13,158.14, 18,152.34 and 7,849.19 is: 10,828.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,158.14 : 18,152.34 = 7,849.19 : x
  2. Step 2: Convert to fraction form
    13,158.14/18,152.34 = 7,849.19/x
  3. Step 3: Cross multiply
    13,158.14x = 18,152.34 × 7,849.19
  4. Step 4: Simplify right side
    13,158.14x = 142,481,074.84
  5. Step 5: Solve for x
    x = 142,481,074.84/13,158.14
  6. Step 6: Final answer
    x = 10,828.36

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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.