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Finding the Fourth Proportional to 26,964.30, 40,446.45 and 13,842.30

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Solution

The fourth proportional to 26,964.30, 40,446.45 and 13,842.30 is: 20,763.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,964.30 : 40,446.45 = 13,842.30 : x
  2. Step 2: Convert to fraction form
    26,964.30/40,446.45 = 13,842.30/x
  3. Step 3: Cross multiply
    26,964.30x = 40,446.45 × 13,842.30
  4. Step 4: Simplify right side
    26,964.30x = 559,871,894.84
  5. Step 5: Solve for x
    x = 559,871,894.84/26,964.30
  6. Step 6: Final answer
    x = 20,763.45

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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.