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Finding the Fourth Proportional to 13,245.77, 18,271.06 and 7,864.56

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Solution

The fourth proportional to 13,245.77, 18,271.06 and 7,864.56 is: 10,848.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,245.77 : 18,271.06 = 7,864.56 : x
  2. Step 2: Convert to fraction form
    13,245.77/18,271.06 = 7,864.56/x
  3. Step 3: Cross multiply
    13,245.77x = 18,271.06 × 7,864.56
  4. Step 4: Simplify right side
    13,245.77x = 143,693,716.96
  5. Step 5: Solve for x
    x = 143,693,716.96/13,245.77
  6. Step 6: Final answer
    x = 10,848.28

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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.