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Finding the Fourth Proportional to 27,014.70, 40,534.20 and 12,969.30

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Solution

The fourth proportional to 27,014.70, 40,534.20 and 12,969.30 is: 19,459.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,014.70 : 40,534.20 = 12,969.30 : x
  2. Step 2: Convert to fraction form
    27,014.70/40,534.20 = 12,969.30/x
  3. Step 3: Cross multiply
    27,014.70x = 40,534.20 × 12,969.30
  4. Step 4: Simplify right side
    27,014.70x = 525,700,200.06
  5. Step 5: Solve for x
    x = 525,700,200.06/27,014.70
  6. Step 6: Final answer
    x = 19,459.78

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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.