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Finding the Fourth Proportional to 27,014.94, 40,541.45 and 9,486.14

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Solution

The fourth proportional to 27,014.94, 40,541.45 and 9,486.14 is: 14,235.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,014.94 : 40,541.45 = 9,486.14 : x
  2. Step 2: Convert to fraction form
    27,014.94/40,541.45 = 9,486.14/x
  3. Step 3: Cross multiply
    27,014.94x = 40,541.45 × 9,486.14
  4. Step 4: Simplify right side
    27,014.94x = 384,581,620.37
  5. Step 5: Solve for x
    x = 384,581,620.37/27,014.94
  6. Step 6: Final answer
    x = 14,235.89

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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.