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Finding the Fourth Proportional to 27,065.16, 40,539.42 and 13,185

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Solution

The fourth proportional to 27,065.16, 40,539.42 and 13,185 is: 19,749.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,065.16 : 40,539.42 = 13,185 : x
  2. Step 2: Convert to fraction form
    27,065.16/40,539.42 = 13,185/x
  3. Step 3: Cross multiply
    27,065.16x = 40,539.42 × 13,185
  4. Step 4: Simplify right side
    27,065.16x = 534,512,252.70
  5. Step 5: Solve for x
    x = 534,512,252.70/27,065.16
  6. Step 6: Final answer
    x = 19,749.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.