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Finding the Fourth Proportional to 18,314.38, 27,470.94 and 7,777.63

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Solution

The fourth proportional to 18,314.38, 27,470.94 and 7,777.63 is: 11,666.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,314.38 : 27,470.94 = 7,777.63 : x
  2. Step 2: Convert to fraction form
    18,314.38/27,470.94 = 7,777.63/x
  3. Step 3: Cross multiply
    18,314.38x = 27,470.94 × 7,777.63
  4. Step 4: Simplify right side
    18,314.38x = 213,658,807.07
  5. Step 5: Solve for x
    x = 213,658,807.07/18,314.38
  6. Step 6: Final answer
    x = 11,666.18

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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.