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Finding the Fourth Proportional to 13,165.74, 18,165.06 and 7,858.62

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Solution

The fourth proportional to 13,165.74, 18,165.06 and 7,858.62 is: 10,842.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,165.74 : 18,165.06 = 7,858.62 : x
  2. Step 2: Convert to fraction form
    13,165.74/18,165.06 = 7,858.62/x
  3. Step 3: Cross multiply
    13,165.74x = 18,165.06 × 7,858.62
  4. Step 4: Simplify right side
    13,165.74x = 142,752,303.82
  5. Step 5: Solve for x
    x = 142,752,303.82/13,165.74
  6. Step 6: Final answer
    x = 10,842.71

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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.